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Finding the Third Proportional to 84,700 and 123,867

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Solution

The third proportional to 84,700 and 123,867 is: 181,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,700 : 123,867 = 123,867 : x
  2. Step 2: Convert to fraction form
    84,700/123,867 = 123,867/x
  3. Step 3: Cross multiply
    84,700x = 123,867 × 123,867
  4. Step 4: Simplify right side
    84,700x = 15,343,033,689
  5. Step 5: Solve for x
    x = 15,343,033,689/84,700
  6. Step 6: Final answer
    x = 181,145.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.