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Finding the Third Proportional to 129,001 and 189,709

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Solution

The third proportional to 129,001 and 189,709 is: 278,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,001 : 189,709 = 189,709 : x
  2. Step 2: Convert to fraction form
    129,001/189,709 = 189,709/x
  3. Step 3: Cross multiply
    129,001x = 189,709 × 189,709
  4. Step 4: Simplify right side
    129,001x = 35,989,504,681
  5. Step 5: Solve for x
    x = 35,989,504,681/129,001
  6. Step 6: Final answer
    x = 278,986.25

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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.