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Finding the Third Proportional to 77,122.13 and 116,655.75

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Solution

The third proportional to 77,122.13 and 116,655.75 is: 176,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,122.13 : 116,655.75 = 116,655.75 : x
  2. Step 2: Convert to fraction form
    77,122.13/116,655.75 = 116,655.75/x
  3. Step 3: Cross multiply
    77,122.13x = 116,655.75 × 116,655.75
  4. Step 4: Simplify right side
    77,122.13x = 13,608,564,008.06
  5. Step 5: Solve for x
    x = 13,608,564,008.06/77,122.13
  6. Step 6: Final answer
    x = 176,454.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.