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Finding the Third Proportional to 138,136.60 and 206,352.74

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Solution

The third proportional to 138,136.60 and 206,352.74 is: 308,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,136.60 : 206,352.74 = 206,352.74 : x
  2. Step 2: Convert to fraction form
    138,136.60/206,352.74 = 206,352.74/x
  3. Step 3: Cross multiply
    138,136.60x = 206,352.74 × 206,352.74
  4. Step 4: Simplify right side
    138,136.60x = 42,581,453,502.99
  5. Step 5: Solve for x
    x = 42,581,453,502.99/138,136.60
  6. Step 6: Final answer
    x = 308,256.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.