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Finding the Third Proportional to 294,411 and 638,610

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Solution

The third proportional to 294,411 and 638,610 is: 1,385,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,411 : 638,610 = 638,610 : x
  2. Step 2: Convert to fraction form
    294,411/638,610 = 638,610/x
  3. Step 3: Cross multiply
    294,411x = 638,610 × 638,610
  4. Step 4: Simplify right side
    294,411x = 407,822,732,100
  5. Step 5: Solve for x
    x = 407,822,732,100/294,411
  6. Step 6: Final answer
    x = 1,385,215.68

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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.