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Finding the Third Proportional to 129,019.08 and 189,726.05

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Solution

The third proportional to 129,019.08 and 189,726.05 is: 278,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,019.08 : 189,726.05 = 189,726.05 : x
  2. Step 2: Convert to fraction form
    129,019.08/189,726.05 = 189,726.05/x
  3. Step 3: Cross multiply
    129,019.08x = 189,726.05 × 189,726.05
  4. Step 4: Simplify right side
    129,019.08x = 35,995,972,862.81
  5. Step 5: Solve for x
    x = 35,995,972,862.81/129,019.08
  6. Step 6: Final answer
    x = 278,997.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.