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Finding the Third Proportional to 7,539.75 and 8,539.13

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Solution

The third proportional to 7,539.75 and 8,539.13 is: 9,670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.75 : 8,539.13 = 8,539.13 : x
  2. Step 2: Convert to fraction form
    7,539.75/8,539.13 = 8,539.13/x
  3. Step 3: Cross multiply
    7,539.75x = 8,539.13 × 8,539.13
  4. Step 4: Simplify right side
    7,539.75x = 72,916,655.77
  5. Step 5: Solve for x
    x = 72,916,655.77/7,539.75
  6. Step 6: Final answer
    x = 9,670.96

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.