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Finding the Third Proportional to 3,318.47 and 4,985.30

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Solution

The third proportional to 3,318.47 and 4,985.30 is: 7,489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.47 : 4,985.30 = 4,985.30 : x
  2. Step 2: Convert to fraction form
    3,318.47/4,985.30 = 4,985.30/x
  3. Step 3: Cross multiply
    3,318.47x = 4,985.30 × 4,985.30
  4. Step 4: Simplify right side
    3,318.47x = 24,853,184.93
  5. Step 5: Solve for x
    x = 24,853,184.93/3,318.47
  6. Step 6: Final answer
    x = 7,489.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.