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Finding the Third Proportional to 75,358.88 and 102,339.50

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Solution

The third proportional to 75,358.88 and 102,339.50 is: 138,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,358.88 : 102,339.50 = 102,339.50 : x
  2. Step 2: Convert to fraction form
    75,358.88/102,339.50 = 102,339.50/x
  3. Step 3: Cross multiply
    75,358.88x = 102,339.50 × 102,339.50
  4. Step 4: Simplify right side
    75,358.88x = 10,473,373,260.25
  5. Step 5: Solve for x
    x = 10,473,373,260.25/75,358.88
  6. Step 6: Final answer
    x = 138,979.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.