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Finding the Third Proportional to 409,428 and 631,638

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Solution

The third proportional to 409,428 and 631,638 is: 974,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,428 : 631,638 = 631,638 : x
  2. Step 2: Convert to fraction form
    409,428/631,638 = 631,638/x
  3. Step 3: Cross multiply
    409,428x = 631,638 × 631,638
  4. Step 4: Simplify right side
    409,428x = 398,966,563,044
  5. Step 5: Solve for x
    x = 398,966,563,044/409,428
  6. Step 6: Final answer
    x = 974,448.65

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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.