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Finding the Third Proportional to 402,334 and 563,908

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Solution

The third proportional to 402,334 and 563,908 is: 790,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,334 : 563,908 = 563,908 : x
  2. Step 2: Convert to fraction form
    402,334/563,908 = 563,908/x
  3. Step 3: Cross multiply
    402,334x = 563,908 × 563,908
  4. Step 4: Simplify right side
    402,334x = 317,992,232,464
  5. Step 5: Solve for x
    x = 317,992,232,464/402,334
  6. Step 6: Final answer
    x = 790,368.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.