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Finding the Third Proportional to 95,125.50 and 142,377

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Solution

The third proportional to 95,125.50 and 142,377 is: 213,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,125.50 : 142,377 = 142,377 : x
  2. Step 2: Convert to fraction form
    95,125.50/142,377 = 142,377/x
  3. Step 3: Cross multiply
    95,125.50x = 142,377 × 142,377
  4. Step 4: Simplify right side
    95,125.50x = 20,271,210,129
  5. Step 5: Solve for x
    x = 20,271,210,129/95,125.50
  6. Step 6: Final answer
    x = 213,099.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.