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Finding the Third Proportional to 73,780 and 158,312

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Solution

The third proportional to 73,780 and 158,312 is: 339,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,780 : 158,312 = 158,312 : x
  2. Step 2: Convert to fraction form
    73,780/158,312 = 158,312/x
  3. Step 3: Cross multiply
    73,780x = 158,312 × 158,312
  4. Step 4: Simplify right side
    73,780x = 25,062,689,344
  5. Step 5: Solve for x
    x = 25,062,689,344/73,780
  6. Step 6: Final answer
    x = 339,694.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.