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Finding the Third Proportional to 138,136.50 and 207,717

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Solution

The third proportional to 138,136.50 and 207,717 is: 312,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,136.50 : 207,717 = 207,717 : x
  2. Step 2: Convert to fraction form
    138,136.50/207,717 = 207,717/x
  3. Step 3: Cross multiply
    138,136.50x = 207,717 × 207,717
  4. Step 4: Simplify right side
    138,136.50x = 43,146,352,089
  5. Step 5: Solve for x
    x = 43,146,352,089/138,136.50
  6. Step 6: Final answer
    x = 312,345.77

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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.