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Finding the Third Proportional to 51,356 and 112,780

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Solution

The third proportional to 51,356 and 112,780 is: 247,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,356 : 112,780 = 112,780 : x
  2. Step 2: Convert to fraction form
    51,356/112,780 = 112,780/x
  3. Step 3: Cross multiply
    51,356x = 112,780 × 112,780
  4. Step 4: Simplify right side
    51,356x = 12,719,328,400
  5. Step 5: Solve for x
    x = 12,719,328,400/51,356
  6. Step 6: Final answer
    x = 247,669.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.