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Finding the Third Proportional to 138,637.50 and 207,032.25

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Solution

The third proportional to 138,637.50 and 207,032.25 is: 309,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,637.50 : 207,032.25 = 207,032.25 : x
  2. Step 2: Convert to fraction form
    138,637.50/207,032.25 = 207,032.25/x
  3. Step 3: Cross multiply
    138,637.50x = 207,032.25 × 207,032.25
  4. Step 4: Simplify right side
    138,637.50x = 42,862,352,540.06
  5. Step 5: Solve for x
    x = 42,862,352,540.06/138,637.50
  6. Step 6: Final answer
    x = 309,168.53

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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.