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Finding the Third Proportional to 51,481 and 112,803

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Solution

The third proportional to 51,481 and 112,803 is: 247,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,481 : 112,803 = 112,803 : x
  2. Step 2: Convert to fraction form
    51,481/112,803 = 112,803/x
  3. Step 3: Cross multiply
    51,481x = 112,803 × 112,803
  4. Step 4: Simplify right side
    51,481x = 12,724,516,809
  5. Step 5: Solve for x
    x = 12,724,516,809/51,481
  6. Step 6: Final answer
    x = 247,169.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.