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Finding the Third Proportional to 137,613.75 and 205,780.88

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Solution

The third proportional to 137,613.75 and 205,780.88 is: 307,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,613.75 : 205,780.88 = 205,780.88 : x
  2. Step 2: Convert to fraction form
    137,613.75/205,780.88 = 205,780.88/x
  3. Step 3: Cross multiply
    137,613.75x = 205,780.88 × 205,780.88
  4. Step 4: Simplify right side
    137,613.75x = 42,345,768,515.77
  5. Step 5: Solve for x
    x = 42,345,768,515.77/137,613.75
  6. Step 6: Final answer
    x = 307,714.66

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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.