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Finding the Third Proportional to 7,830 and 12,987

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Solution

The third proportional to 7,830 and 12,987 is: 21,540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830 : 12,987 = 12,987 : x
  2. Step 2: Convert to fraction form
    7,830/12,987 = 12,987/x
  3. Step 3: Cross multiply
    7,830x = 12,987 × 12,987
  4. Step 4: Simplify right side
    7,830x = 168,662,169
  5. Step 5: Solve for x
    x = 168,662,169/7,830
  6. Step 6: Final answer
    x = 21,540.51

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.