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Finding the Third Proportional to 437,478 and 625,591

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Solution

The third proportional to 437,478 and 625,591 is: 894,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,478 : 625,591 = 625,591 : x
  2. Step 2: Convert to fraction form
    437,478/625,591 = 625,591/x
  3. Step 3: Cross multiply
    437,478x = 625,591 × 625,591
  4. Step 4: Simplify right side
    437,478x = 391,364,099,281
  5. Step 5: Solve for x
    x = 391,364,099,281/437,478
  6. Step 6: Final answer
    x = 894,591.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.