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Finding the Third Proportional to 51,716 and 80,070

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Solution

The third proportional to 51,716 and 80,070 is: 123,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,716 : 80,070 = 80,070 : x
  2. Step 2: Convert to fraction form
    51,716/80,070 = 80,070/x
  3. Step 3: Cross multiply
    51,716x = 80,070 × 80,070
  4. Step 4: Simplify right side
    51,716x = 6,411,204,900
  5. Step 5: Solve for x
    x = 6,411,204,900/51,716
  6. Step 6: Final answer
    x = 123,969.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.