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Finding the Third Proportional to 51,988 and 78,716

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Solution

The third proportional to 51,988 and 78,716 is: 119,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,988 : 78,716 = 78,716 : x
  2. Step 2: Convert to fraction form
    51,988/78,716 = 78,716/x
  3. Step 3: Cross multiply
    51,988x = 78,716 × 78,716
  4. Step 4: Simplify right side
    51,988x = 6,196,208,656
  5. Step 5: Solve for x
    x = 6,196,208,656/51,988
  6. Step 6: Final answer
    x = 119,185.36

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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.