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Finding the Third Proportional to 423,298 and 564,313

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Solution

The third proportional to 423,298 and 564,313 is: 752,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,298 : 564,313 = 564,313 : x
  2. Step 2: Convert to fraction form
    423,298/564,313 = 564,313/x
  3. Step 3: Cross multiply
    423,298x = 564,313 × 564,313
  4. Step 4: Simplify right side
    423,298x = 318,449,161,969
  5. Step 5: Solve for x
    x = 318,449,161,969/423,298
  6. Step 6: Final answer
    x = 752,304.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.