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Finding the Third Proportional to 1,624 and 1,864

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Solution

The third proportional to 1,624 and 1,864 is: 2,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624 : 1,864 = 1,864 : x
  2. Step 2: Convert to fraction form
    1,624/1,864 = 1,864/x
  3. Step 3: Cross multiply
    1,624x = 1,864 × 1,864
  4. Step 4: Simplify right side
    1,624x = 3,474,496
  5. Step 5: Solve for x
    x = 3,474,496/1,624
  6. Step 6: Final answer
    x = 2,139.47

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.