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Finding the Third Proportional to 431,263 and 617,536

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Solution

The third proportional to 431,263 and 617,536 is: 884,264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,263 : 617,536 = 617,536 : x
  2. Step 2: Convert to fraction form
    431,263/617,536 = 617,536/x
  3. Step 3: Cross multiply
    431,263x = 617,536 × 617,536
  4. Step 4: Simplify right side
    431,263x = 381,350,711,296
  5. Step 5: Solve for x
    x = 381,350,711,296/431,263
  6. Step 6: Final answer
    x = 884,264.85

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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.