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Finding the Third Proportional to 78,451.31 and 161,038.13

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Solution

The third proportional to 78,451.31 and 161,038.13 is: 330,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,451.31 : 161,038.13 = 161,038.13 : x
  2. Step 2: Convert to fraction form
    78,451.31/161,038.13 = 161,038.13/x
  3. Step 3: Cross multiply
    78,451.31x = 161,038.13 × 161,038.13
  4. Step 4: Simplify right side
    78,451.31x = 25,933,277,703.52
  5. Step 5: Solve for x
    x = 25,933,277,703.52/78,451.31
  6. Step 6: Final answer
    x = 330,565.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.