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Finding the Third Proportional to 138,437.50 and 216,883.75

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Solution

The third proportional to 138,437.50 and 216,883.75 is: 339,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,437.50 : 216,883.75 = 216,883.75 : x
  2. Step 2: Convert to fraction form
    138,437.50/216,883.75 = 216,883.75/x
  3. Step 3: Cross multiply
    138,437.50x = 216,883.75 × 216,883.75
  4. Step 4: Simplify right side
    138,437.50x = 47,038,561,014.06
  5. Step 5: Solve for x
    x = 47,038,561,014.06/138,437.50
  6. Step 6: Final answer
    x = 339,781.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.