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Finding the Third Proportional to 7,705.13 and 9,259.31

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Solution

The third proportional to 7,705.13 and 9,259.31 is: 11,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.13 : 9,259.31 = 9,259.31 : x
  2. Step 2: Convert to fraction form
    7,705.13/9,259.31 = 9,259.31/x
  3. Step 3: Cross multiply
    7,705.13x = 9,259.31 × 9,259.31
  4. Step 4: Simplify right side
    7,705.13x = 85,734,867.97
  5. Step 5: Solve for x
    x = 85,734,867.97/7,705.13
  6. Step 6: Final answer
    x = 11,126.99

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.