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Finding the Third Proportional to 51,635 and 78,479

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Solution

The third proportional to 51,635 and 78,479 is: 119,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,635 : 78,479 = 78,479 : x
  2. Step 2: Convert to fraction form
    51,635/78,479 = 78,479/x
  3. Step 3: Cross multiply
    51,635x = 78,479 × 78,479
  4. Step 4: Simplify right side
    51,635x = 6,158,953,441
  5. Step 5: Solve for x
    x = 6,158,953,441/51,635
  6. Step 6: Final answer
    x = 119,278.66

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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.