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Finding the Third Proportional to 63,085.55 and 138,972.74

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Solution

The third proportional to 63,085.55 and 138,972.74 is: 306,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,085.55 : 138,972.74 = 138,972.74 : x
  2. Step 2: Convert to fraction form
    63,085.55/138,972.74 = 138,972.74/x
  3. Step 3: Cross multiply
    63,085.55x = 138,972.74 × 138,972.74
  4. Step 4: Simplify right side
    63,085.55x = 19,313,423,613.97
  5. Step 5: Solve for x
    x = 19,313,423,613.97/63,085.55
  6. Step 6: Final answer
    x = 306,146.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.