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Finding the Third Proportional to 109,350.75 and 139,726.13

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Solution

The third proportional to 109,350.75 and 139,726.13 is: 178,539.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,350.75 : 139,726.13 = 139,726.13 : x
  2. Step 2: Convert to fraction form
    109,350.75/139,726.13 = 139,726.13/x
  3. Step 3: Cross multiply
    109,350.75x = 139,726.13 × 139,726.13
  4. Step 4: Simplify right side
    109,350.75x = 19,523,390,007.52
  5. Step 5: Solve for x
    x = 19,523,390,007.52/109,350.75
  6. Step 6: Final answer
    x = 178,539.15

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.