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Finding the Third Proportional to 9,987 and 14,784

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Solution

The third proportional to 9,987 and 14,784 is: 21,885.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987 : 14,784 = 14,784 : x
  2. Step 2: Convert to fraction form
    9,987/14,784 = 14,784/x
  3. Step 3: Cross multiply
    9,987x = 14,784 × 14,784
  4. Step 4: Simplify right side
    9,987x = 218,566,656
  5. Step 5: Solve for x
    x = 218,566,656/9,987
  6. Step 6: Final answer
    x = 21,885.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.