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Finding the Third Proportional to 120,404.60 and 187,501.08

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Solution

The third proportional to 120,404.60 and 187,501.08 is: 291,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,404.60 : 187,501.08 = 187,501.08 : x
  2. Step 2: Convert to fraction form
    120,404.60/187,501.08 = 187,501.08/x
  3. Step 3: Cross multiply
    120,404.60x = 187,501.08 × 187,501.08
  4. Step 4: Simplify right side
    120,404.60x = 35,156,654,298.04
  5. Step 5: Solve for x
    x = 35,156,654,298.04/120,404.60
  6. Step 6: Final answer
    x = 291,987.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.