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Finding the Third Proportional to 129,420 and 189,828

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Solution

The third proportional to 129,420 and 189,828 is: 278,432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,420 : 189,828 = 189,828 : x
  2. Step 2: Convert to fraction form
    129,420/189,828 = 189,828/x
  3. Step 3: Cross multiply
    129,420x = 189,828 × 189,828
  4. Step 4: Simplify right side
    129,420x = 36,034,669,584
  5. Step 5: Solve for x
    x = 36,034,669,584/129,420
  6. Step 6: Final answer
    x = 278,432.00

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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.