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Finding the Third Proportional to 138,904.50 and 207,442.13

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Solution

The third proportional to 138,904.50 and 207,442.13 is: 309,797.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,904.50 : 207,442.13 = 207,442.13 : x
  2. Step 2: Convert to fraction form
    138,904.50/207,442.13 = 207,442.13/x
  3. Step 3: Cross multiply
    138,904.50x = 207,442.13 × 207,442.13
  4. Step 4: Simplify right side
    138,904.50x = 43,032,235,224.52
  5. Step 5: Solve for x
    x = 43,032,235,224.52/138,904.50
  6. Step 6: Final answer
    x = 309,797.27

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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.