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Finding the Third Proportional to 191,308.50 and 281,130.75

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Solution

The third proportional to 191,308.50 and 281,130.75 is: 413,125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,308.50 : 281,130.75 = 281,130.75 : x
  2. Step 2: Convert to fraction form
    191,308.50/281,130.75 = 281,130.75/x
  3. Step 3: Cross multiply
    191,308.50x = 281,130.75 × 281,130.75
  4. Step 4: Simplify right side
    191,308.50x = 79,034,498,595.56
  5. Step 5: Solve for x
    x = 79,034,498,595.56/191,308.50
  6. Step 6: Final answer
    x = 413,125.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.