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Finding the Third Proportional to 4,158 and 6,486

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Solution

The third proportional to 4,158 and 6,486 is: 10,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158 : 6,486 = 6,486 : x
  2. Step 2: Convert to fraction form
    4,158/6,486 = 6,486/x
  3. Step 3: Cross multiply
    4,158x = 6,486 × 6,486
  4. Step 4: Simplify right side
    4,158x = 42,068,196
  5. Step 5: Solve for x
    x = 42,068,196/4,158
  6. Step 6: Final answer
    x = 10,117.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.