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Finding the Third Proportional to 138,685.88 and 208,032.13

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Solution

The third proportional to 138,685.88 and 208,032.13 is: 312,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,685.88 : 208,032.13 = 208,032.13 : x
  2. Step 2: Convert to fraction form
    138,685.88/208,032.13 = 208,032.13/x
  3. Step 3: Cross multiply
    138,685.88x = 208,032.13 × 208,032.13
  4. Step 4: Simplify right side
    138,685.88x = 43,277,365,032.02
  5. Step 5: Solve for x
    x = 43,277,365,032.02/138,685.88
  6. Step 6: Final answer
    x = 312,053.16

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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.