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Finding the Third Proportional to 56,288 and 121,946

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Solution

The third proportional to 56,288 and 121,946 is: 264,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,288 : 121,946 = 121,946 : x
  2. Step 2: Convert to fraction form
    56,288/121,946 = 121,946/x
  3. Step 3: Cross multiply
    56,288x = 121,946 × 121,946
  4. Step 4: Simplify right side
    56,288x = 14,870,826,916
  5. Step 5: Solve for x
    x = 14,870,826,916/56,288
  6. Step 6: Final answer
    x = 264,191.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.