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Finding the Third Proportional to 67,980 and 146,877

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Solution

The third proportional to 67,980 and 146,877 is: 317,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,980 : 146,877 = 146,877 : x
  2. Step 2: Convert to fraction form
    67,980/146,877 = 146,877/x
  3. Step 3: Cross multiply
    67,980x = 146,877 × 146,877
  4. Step 4: Simplify right side
    67,980x = 21,572,853,129
  5. Step 5: Solve for x
    x = 21,572,853,129/67,980
  6. Step 6: Final answer
    x = 317,341.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.