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Finding the Third Proportional to 9,282 and 14,062.50

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Solution

The third proportional to 9,282 and 14,062.50 is: 21,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282 : 14,062.50 = 14,062.50 : x
  2. Step 2: Convert to fraction form
    9,282/14,062.50 = 14,062.50/x
  3. Step 3: Cross multiply
    9,282x = 14,062.50 × 14,062.50
  4. Step 4: Simplify right side
    9,282x = 197,753,906.25
  5. Step 5: Solve for x
    x = 197,753,906.25/9,282
  6. Step 6: Final answer
    x = 21,305.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.