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Finding the Third Proportional to 420,698 and 566,859

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Solution

The third proportional to 420,698 and 566,859 is: 763,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,698 : 566,859 = 566,859 : x
  2. Step 2: Convert to fraction form
    420,698/566,859 = 566,859/x
  3. Step 3: Cross multiply
    420,698x = 566,859 × 566,859
  4. Step 4: Simplify right side
    420,698x = 321,329,125,881
  5. Step 5: Solve for x
    x = 321,329,125,881/420,698
  6. Step 6: Final answer
    x = 763,799.98

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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.