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Finding the Third Proportional to 293,102,200,524 and 634,874,365,680

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Solution

The third proportional to 293,102,200,524 and 634,874,365,680 is: 1,375,170,365,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,102,200,524 : 634,874,365,680 = 634,874,365,680 : x
  2. Step 2: Convert to fraction form
    293,102,200,524/634,874,365,680 = 634,874,365,680/x
  3. Step 3: Cross multiply
    293,102,200,524x = 634,874,365,680 × 634,874,365,680
  4. Step 4: Simplify right side
    293,102,200,524x = 403,065,460,197,582,337,736,704
  5. Step 5: Solve for x
    x = 403,065,460,197,582,337,736,704/293,102,200,524
  6. Step 6: Final answer
    x = 1,375,170,365,411.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.