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Finding the Third Proportional to 139,246.59 and 209,177.44

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Solution

The third proportional to 139,246.59 and 209,177.44 is: 314,228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,246.59 : 209,177.44 = 209,177.44 : x
  2. Step 2: Convert to fraction form
    139,246.59/209,177.44 = 209,177.44/x
  3. Step 3: Cross multiply
    139,246.59x = 209,177.44 × 209,177.44
  4. Step 4: Simplify right side
    139,246.59x = 43,755,200,359.07
  5. Step 5: Solve for x
    x = 43,755,200,359.07/139,246.59
  6. Step 6: Final answer
    x = 314,228.16

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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.