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Finding the Third Proportional to 409,368 and 631,545

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Solution

The third proportional to 409,368 and 631,545 is: 974,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,368 : 631,545 = 631,545 : x
  2. Step 2: Convert to fraction form
    409,368/631,545 = 631,545/x
  3. Step 3: Cross multiply
    409,368x = 631,545 × 631,545
  4. Step 4: Simplify right side
    409,368x = 398,849,087,025
  5. Step 5: Solve for x
    x = 398,849,087,025/409,368
  6. Step 6: Final answer
    x = 974,304.51

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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.