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Finding the Third Proportional to 56,940 and 83,215

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Solution

The third proportional to 56,940 and 83,215 is: 121,614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,940 : 83,215 = 83,215 : x
  2. Step 2: Convert to fraction form
    56,940/83,215 = 83,215/x
  3. Step 3: Cross multiply
    56,940x = 83,215 × 83,215
  4. Step 4: Simplify right side
    56,940x = 6,924,736,225
  5. Step 5: Solve for x
    x = 6,924,736,225/56,940
  6. Step 6: Final answer
    x = 121,614.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.