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Finding the Third Proportional to 100,428.75 and 137,710.13

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Solution

The third proportional to 100,428.75 and 137,710.13 is: 188,831.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,428.75 : 137,710.13 = 137,710.13 : x
  2. Step 2: Convert to fraction form
    100,428.75/137,710.13 = 137,710.13/x
  3. Step 3: Cross multiply
    100,428.75x = 137,710.13 × 137,710.13
  4. Step 4: Simplify right side
    100,428.75x = 18,964,078,527.52
  5. Step 5: Solve for x
    x = 18,964,078,527.52/100,428.75
  6. Step 6: Final answer
    x = 188,831.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.