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Finding the Third Proportional to 10,389 and 16,711.50

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Solution

The third proportional to 10,389 and 16,711.50 is: 26,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389 : 16,711.50 = 16,711.50 : x
  2. Step 2: Convert to fraction form
    10,389/16,711.50 = 16,711.50/x
  3. Step 3: Cross multiply
    10,389x = 16,711.50 × 16,711.50
  4. Step 4: Simplify right side
    10,389x = 279,274,232.25
  5. Step 5: Solve for x
    x = 279,274,232.25/10,389
  6. Step 6: Final answer
    x = 26,881.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.