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Finding the Third Proportional to 129,119 and 181,507

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Solution

The third proportional to 129,119 and 181,507 is: 255,150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,119 : 181,507 = 181,507 : x
  2. Step 2: Convert to fraction form
    129,119/181,507 = 181,507/x
  3. Step 3: Cross multiply
    129,119x = 181,507 × 181,507
  4. Step 4: Simplify right side
    129,119x = 32,944,791,049
  5. Step 5: Solve for x
    x = 32,944,791,049/129,119
  6. Step 6: Final answer
    x = 255,150.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.