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Finding the Third Proportional to 77,080 and 114,972

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Solution

The third proportional to 77,080 and 114,972 is: 171,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,080 : 114,972 = 114,972 : x
  2. Step 2: Convert to fraction form
    77,080/114,972 = 114,972/x
  3. Step 3: Cross multiply
    77,080x = 114,972 × 114,972
  4. Step 4: Simplify right side
    77,080x = 13,218,560,784
  5. Step 5: Solve for x
    x = 13,218,560,784/77,080
  6. Step 6: Final answer
    x = 171,491.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.