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Finding the Third Proportional to 78,171.75 and 124,345.13

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Solution

The third proportional to 78,171.75 and 124,345.13 is: 197,791.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,171.75 : 124,345.13 = 124,345.13 : x
  2. Step 2: Convert to fraction form
    78,171.75/124,345.13 = 124,345.13/x
  3. Step 3: Cross multiply
    78,171.75x = 124,345.13 × 124,345.13
  4. Step 4: Simplify right side
    78,171.75x = 15,461,710,111.27
  5. Step 5: Solve for x
    x = 15,461,710,111.27/78,171.75
  6. Step 6: Final answer
    x = 197,791.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.