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Finding the Third Proportional to 421,942 and 563,643

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Solution

The third proportional to 421,942 and 563,643 is: 752,931.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,942 : 563,643 = 563,643 : x
  2. Step 2: Convert to fraction form
    421,942/563,643 = 563,643/x
  3. Step 3: Cross multiply
    421,942x = 563,643 × 563,643
  4. Step 4: Simplify right side
    421,942x = 317,693,431,449
  5. Step 5: Solve for x
    x = 317,693,431,449/421,942
  6. Step 6: Final answer
    x = 752,931.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.