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Finding the Third Proportional to 142,724 and 310,872

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Solution

The third proportional to 142,724 and 310,872 is: 677,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,724 : 310,872 = 310,872 : x
  2. Step 2: Convert to fraction form
    142,724/310,872 = 310,872/x
  3. Step 3: Cross multiply
    142,724x = 310,872 × 310,872
  4. Step 4: Simplify right side
    142,724x = 96,641,400,384
  5. Step 5: Solve for x
    x = 96,641,400,384/142,724
  6. Step 6: Final answer
    x = 677,120.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.