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Finding the Third Proportional to 4,344 and 8,962.50

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Solution

The third proportional to 4,344 and 8,962.50 is: 18,491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344 : 8,962.50 = 8,962.50 : x
  2. Step 2: Convert to fraction form
    4,344/8,962.50 = 8,962.50/x
  3. Step 3: Cross multiply
    4,344x = 8,962.50 × 8,962.50
  4. Step 4: Simplify right side
    4,344x = 80,326,406.25
  5. Step 5: Solve for x
    x = 80,326,406.25/4,344
  6. Step 6: Final answer
    x = 18,491.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.