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Finding the Third Proportional to 420,702 and 566,865

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Solution

The third proportional to 420,702 and 566,865 is: 763,808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,702 : 566,865 = 566,865 : x
  2. Step 2: Convert to fraction form
    420,702/566,865 = 566,865/x
  3. Step 3: Cross multiply
    420,702x = 566,865 × 566,865
  4. Step 4: Simplify right side
    420,702x = 321,335,928,225
  5. Step 5: Solve for x
    x = 321,335,928,225/420,702
  6. Step 6: Final answer
    x = 763,808.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.