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Finding the Third Proportional to 77,542.31 and 118,594.13

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Solution

The third proportional to 77,542.31 and 118,594.13 is: 181,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,542.31 : 118,594.13 = 118,594.13 : x
  2. Step 2: Convert to fraction form
    77,542.31/118,594.13 = 118,594.13/x
  3. Step 3: Cross multiply
    77,542.31x = 118,594.13 × 118,594.13
  4. Step 4: Simplify right side
    77,542.31x = 14,064,566,484.52
  5. Step 5: Solve for x
    x = 14,064,566,484.52/77,542.31
  6. Step 6: Final answer
    x = 181,379.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.