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Finding the Third Proportional to 12,818 and 29,412

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Solution

The third proportional to 12,818 and 29,412 is: 67,488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818 : 29,412 = 29,412 : x
  2. Step 2: Convert to fraction form
    12,818/29,412 = 29,412/x
  3. Step 3: Cross multiply
    12,818x = 29,412 × 29,412
  4. Step 4: Simplify right side
    12,818x = 865,065,744
  5. Step 5: Solve for x
    x = 865,065,744/12,818
  6. Step 6: Final answer
    x = 67,488.36

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.