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Finding the Third Proportional to 6,460 and 13,730

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Solution

The third proportional to 6,460 and 13,730 is: 29,181.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460 : 13,730 = 13,730 : x
  2. Step 2: Convert to fraction form
    6,460/13,730 = 13,730/x
  3. Step 3: Cross multiply
    6,460x = 13,730 × 13,730
  4. Step 4: Simplify right side
    6,460x = 188,512,900
  5. Step 5: Solve for x
    x = 188,512,900/6,460
  6. Step 6: Final answer
    x = 29,181.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.