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Finding the Third Proportional to 409,430 and 631,641

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Solution

The third proportional to 409,430 and 631,641 is: 974,453.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,430 : 631,641 = 631,641 : x
  2. Step 2: Convert to fraction form
    409,430/631,641 = 631,641/x
  3. Step 3: Cross multiply
    409,430x = 631,641 × 631,641
  4. Step 4: Simplify right side
    409,430x = 398,970,352,881
  5. Step 5: Solve for x
    x = 398,970,352,881/409,430
  6. Step 6: Final answer
    x = 974,453.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.