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Finding the Third Proportional to 126,724 and 189,709

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Solution

The third proportional to 126,724 and 189,709 is: 283,999.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,724 : 189,709 = 189,709 : x
  2. Step 2: Convert to fraction form
    126,724/189,709 = 189,709/x
  3. Step 3: Cross multiply
    126,724x = 189,709 × 189,709
  4. Step 4: Simplify right side
    126,724x = 35,989,504,681
  5. Step 5: Solve for x
    x = 35,989,504,681/126,724
  6. Step 6: Final answer
    x = 283,999.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.