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Finding the Third Proportional to 69,768 and 148,872

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Solution

The third proportional to 69,768 and 148,872 is: 317,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,768 : 148,872 = 148,872 : x
  2. Step 2: Convert to fraction form
    69,768/148,872 = 148,872/x
  3. Step 3: Cross multiply
    69,768x = 148,872 × 148,872
  4. Step 4: Simplify right side
    69,768x = 22,162,872,384
  5. Step 5: Solve for x
    x = 22,162,872,384/69,768
  6. Step 6: Final answer
    x = 317,665.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.