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Finding the Third Proportional to 30,405.38 and 45,486

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Solution

The third proportional to 30,405.38 and 45,486 is: 68,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,405.38 : 45,486 = 45,486 : x
  2. Step 2: Convert to fraction form
    30,405.38/45,486 = 45,486/x
  3. Step 3: Cross multiply
    30,405.38x = 45,486 × 45,486
  4. Step 4: Simplify right side
    30,405.38x = 2,068,976,196
  5. Step 5: Solve for x
    x = 2,068,976,196/30,405.38
  6. Step 6: Final answer
    x = 68,046.40

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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.