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Finding the Third Proportional to 138,869.44 and 207,392.91

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Solution

The third proportional to 138,869.44 and 207,392.91 is: 309,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,869.44 : 207,392.91 = 207,392.91 : x
  2. Step 2: Convert to fraction form
    138,869.44/207,392.91 = 207,392.91/x
  3. Step 3: Cross multiply
    138,869.44x = 207,392.91 × 207,392.91
  4. Step 4: Simplify right side
    138,869.44x = 43,011,817,562.82
  5. Step 5: Solve for x
    x = 43,011,817,562.82/138,869.44
  6. Step 6: Final answer
    x = 309,728.46

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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.