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Finding the Third Proportional to 7,920 and 16,849.13

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Solution

The third proportional to 7,920 and 16,849.13 is: 35,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920 : 16,849.13 = 16,849.13 : x
  2. Step 2: Convert to fraction form
    7,920/16,849.13 = 16,849.13/x
  3. Step 3: Cross multiply
    7,920x = 16,849.13 × 16,849.13
  4. Step 4: Simplify right side
    7,920x = 283,893,013.27
  5. Step 5: Solve for x
    x = 283,893,013.27/7,920
  6. Step 6: Final answer
    x = 35,845.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.