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Finding the Third Proportional to 20,389 and 28,712

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Solution

The third proportional to 20,389 and 28,712 is: 40,432.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,389 : 28,712 = 28,712 : x
  2. Step 2: Convert to fraction form
    20,389/28,712 = 28,712/x
  3. Step 3: Cross multiply
    20,389x = 28,712 × 28,712
  4. Step 4: Simplify right side
    20,389x = 824,378,944
  5. Step 5: Solve for x
    x = 824,378,944/20,389
  6. Step 6: Final answer
    x = 40,432.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.