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Finding the Third Proportional to 138,899.81 and 207,527.06

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Solution

The third proportional to 138,899.81 and 207,527.06 is: 310,061.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,899.81 : 207,527.06 = 207,527.06 : x
  2. Step 2: Convert to fraction form
    138,899.81/207,527.06 = 207,527.06/x
  3. Step 3: Cross multiply
    138,899.81x = 207,527.06 × 207,527.06
  4. Step 4: Simplify right side
    138,899.81x = 43,067,481,669.88
  5. Step 5: Solve for x
    x = 43,067,481,669.88/138,899.81
  6. Step 6: Final answer
    x = 310,061.48

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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.