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Finding the Third Proportional to 577.97 and 807.89

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Solution

The third proportional to 577.97 and 807.89 is: 1,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.97 : 807.89 = 807.89 : x
  2. Step 2: Convert to fraction form
    577.97/807.89 = 807.89/x
  3. Step 3: Cross multiply
    577.97x = 807.89 × 807.89
  4. Step 4: Simplify right side
    577.97x = 652,687.26
  5. Step 5: Solve for x
    x = 652,687.26/577.97
  6. Step 6: Final answer
    x = 1,129.28

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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.