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Finding the Third Proportional to 12,688 and 29,241

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Solution

The third proportional to 12,688 and 29,241 is: 67,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688 : 29,241 = 29,241 : x
  2. Step 2: Convert to fraction form
    12,688/29,241 = 29,241/x
  3. Step 3: Cross multiply
    12,688x = 29,241 × 29,241
  4. Step 4: Simplify right side
    12,688x = 855,036,081
  5. Step 5: Solve for x
    x = 855,036,081/12,688
  6. Step 6: Final answer
    x = 67,389.35

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.