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Finding the Third Proportional to 409,374 and 631,584

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Solution

The third proportional to 409,374 and 631,584 is: 974,410.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,374 : 631,584 = 631,584 : x
  2. Step 2: Convert to fraction form
    409,374/631,584 = 631,584/x
  3. Step 3: Cross multiply
    409,374x = 631,584 × 631,584
  4. Step 4: Simplify right side
    409,374x = 398,898,349,056
  5. Step 5: Solve for x
    x = 398,898,349,056/409,374
  6. Step 6: Final answer
    x = 974,410.56

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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.