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Finding the Third Proportional to 51,113 and 78,290

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Solution

The third proportional to 51,113 and 78,290 is: 119,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,113 : 78,290 = 78,290 : x
  2. Step 2: Convert to fraction form
    51,113/78,290 = 78,290/x
  3. Step 3: Cross multiply
    51,113x = 78,290 × 78,290
  4. Step 4: Simplify right side
    51,113x = 6,129,324,100
  5. Step 5: Solve for x
    x = 6,129,324,100/51,113
  6. Step 6: Final answer
    x = 119,917.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.