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Finding the Third Proportional to 12,942 and 28,000.13

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Solution

The third proportional to 12,942 and 28,000.13 is: 60,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942 : 28,000.13 = 28,000.13 : x
  2. Step 2: Convert to fraction form
    12,942/28,000.13 = 28,000.13/x
  3. Step 3: Cross multiply
    12,942x = 28,000.13 × 28,000.13
  4. Step 4: Simplify right side
    12,942x = 784,007,000.02
  5. Step 5: Solve for x
    x = 784,007,000.02/12,942
  6. Step 6: Final answer
    x = 60,578.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.