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Finding the Third Proportional to 293,102,200,527 and 634,874,365,686

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Solution

The third proportional to 293,102,200,527 and 634,874,365,686 is: 1,375,170,365,423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,102,200,527 : 634,874,365,686 = 634,874,365,686 : x
  2. Step 2: Convert to fraction form
    293,102,200,527/634,874,365,686 = 634,874,365,686/x
  3. Step 3: Cross multiply
    293,102,200,527x = 634,874,365,686 × 634,874,365,686
  4. Step 4: Simplify right side
    293,102,200,527x = 403,065,460,205,200,871,522,304
  5. Step 5: Solve for x
    x = 403,065,460,205,200,871,522,304/293,102,200,527
  6. Step 6: Final answer
    x = 1,375,170,365,423.69

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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.