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Finding the Third Proportional to 51,556 and 78,414

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Solution

The third proportional to 51,556 and 78,414 is: 119,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,556 : 78,414 = 78,414 : x
  2. Step 2: Convert to fraction form
    51,556/78,414 = 78,414/x
  3. Step 3: Cross multiply
    51,556x = 78,414 × 78,414
  4. Step 4: Simplify right side
    51,556x = 6,148,755,396
  5. Step 5: Solve for x
    x = 6,148,755,396/51,556
  6. Step 6: Final answer
    x = 119,263.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.