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Finding the Third Proportional to 409,482 and 631,719

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Solution

The third proportional to 409,482 and 631,719 is: 974,570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,482 : 631,719 = 631,719 : x
  2. Step 2: Convert to fraction form
    409,482/631,719 = 631,719/x
  3. Step 3: Cross multiply
    409,482x = 631,719 × 631,719
  4. Step 4: Simplify right side
    409,482x = 399,068,894,961
  5. Step 5: Solve for x
    x = 399,068,894,961/409,482
  6. Step 6: Final answer
    x = 974,570.05

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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.