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Finding the Third Proportional to 56,142 and 121,293

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Solution

The third proportional to 56,142 and 121,293 is: 262,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,142 : 121,293 = 121,293 : x
  2. Step 2: Convert to fraction form
    56,142/121,293 = 121,293/x
  3. Step 3: Cross multiply
    56,142x = 121,293 × 121,293
  4. Step 4: Simplify right side
    56,142x = 14,711,991,849
  5. Step 5: Solve for x
    x = 14,711,991,849/56,142
  6. Step 6: Final answer
    x = 262,049.66

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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.