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Finding the Third Proportional to 1,243 and 1,432

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Solution

The third proportional to 1,243 and 1,432 is: 1,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243 : 1,432 = 1,432 : x
  2. Step 2: Convert to fraction form
    1,243/1,432 = 1,432/x
  3. Step 3: Cross multiply
    1,243x = 1,432 × 1,432
  4. Step 4: Simplify right side
    1,243x = 2,050,624
  5. Step 5: Solve for x
    x = 2,050,624/1,243
  6. Step 6: Final answer
    x = 1,649.74

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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.