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Finding the Third Proportional to 77,700.75 and 101,586

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Solution

The third proportional to 77,700.75 and 101,586 is: 132,813.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,700.75 : 101,586 = 101,586 : x
  2. Step 2: Convert to fraction form
    77,700.75/101,586 = 101,586/x
  3. Step 3: Cross multiply
    77,700.75x = 101,586 × 101,586
  4. Step 4: Simplify right side
    77,700.75x = 10,319,715,396
  5. Step 5: Solve for x
    x = 10,319,715,396/77,700.75
  6. Step 6: Final answer
    x = 132,813.59

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.