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Finding the Third Proportional to 78,149.81 and 118,001.81

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Solution

The third proportional to 78,149.81 and 118,001.81 is: 178,176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,149.81 : 118,001.81 = 118,001.81 : x
  2. Step 2: Convert to fraction form
    78,149.81/118,001.81 = 118,001.81/x
  3. Step 3: Cross multiply
    78,149.81x = 118,001.81 × 118,001.81
  4. Step 4: Simplify right side
    78,149.81x = 13,924,427,753.29
  5. Step 5: Solve for x
    x = 13,924,427,753.29/78,149.81
  6. Step 6: Final answer
    x = 178,176.09

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Why These Related Problems?

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