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Finding the Third Proportional to 77,932.13 and 118,128.38

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Solution

The third proportional to 77,932.13 and 118,128.38 is: 179,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,932.13 : 118,128.38 = 118,128.38 : x
  2. Step 2: Convert to fraction form
    77,932.13/118,128.38 = 118,128.38/x
  3. Step 3: Cross multiply
    77,932.13x = 118,128.38 × 118,128.38
  4. Step 4: Simplify right side
    77,932.13x = 13,954,312,980.14
  5. Step 5: Solve for x
    x = 13,954,312,980.14/77,932.13
  6. Step 6: Final answer
    x = 179,057.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.