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Finding the Third Proportional to 51,470 and 77,329

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Solution

The third proportional to 51,470 and 77,329 is: 116,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,470 : 77,329 = 77,329 : x
  2. Step 2: Convert to fraction form
    51,470/77,329 = 77,329/x
  3. Step 3: Cross multiply
    51,470x = 77,329 × 77,329
  4. Step 4: Simplify right side
    51,470x = 5,979,774,241
  5. Step 5: Solve for x
    x = 5,979,774,241/51,470
  6. Step 6: Final answer
    x = 116,179.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.