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Finding the Third Proportional to 100,720.13 and 136,306.13

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Solution

The third proportional to 100,720.13 and 136,306.13 is: 184,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,720.13 : 136,306.13 = 136,306.13 : x
  2. Step 2: Convert to fraction form
    100,720.13/136,306.13 = 136,306.13/x
  3. Step 3: Cross multiply
    100,720.13x = 136,306.13 × 136,306.13
  4. Step 4: Simplify right side
    100,720.13x = 18,579,359,712.52
  5. Step 5: Solve for x
    x = 18,579,359,712.52/100,720.13
  6. Step 6: Final answer
    x = 184,465.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.