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Finding the Third Proportional to 51,996 and 78,458

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Solution

The third proportional to 51,996 and 78,458 is: 118,387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,996 : 78,458 = 78,458 : x
  2. Step 2: Convert to fraction form
    51,996/78,458 = 78,458/x
  3. Step 3: Cross multiply
    51,996x = 78,458 × 78,458
  4. Step 4: Simplify right side
    51,996x = 6,155,657,764
  5. Step 5: Solve for x
    x = 6,155,657,764/51,996
  6. Step 6: Final answer
    x = 118,387.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.