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Finding the Third Proportional to 409,290 and 631,431

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Solution

The third proportional to 409,290 and 631,431 is: 974,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,290 : 631,431 = 631,431 : x
  2. Step 2: Convert to fraction form
    409,290/631,431 = 631,431/x
  3. Step 3: Cross multiply
    409,290x = 631,431 × 631,431
  4. Step 4: Simplify right side
    409,290x = 398,705,107,761
  5. Step 5: Solve for x
    x = 398,705,107,761/409,290
  6. Step 6: Final answer
    x = 974,138.40

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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.