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Finding the Third Proportional to 13,710 and 29,742

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Solution

The third proportional to 13,710 and 29,742 is: 64,521.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710 : 29,742 = 29,742 : x
  2. Step 2: Convert to fraction form
    13,710/29,742 = 29,742/x
  3. Step 3: Cross multiply
    13,710x = 29,742 × 29,742
  4. Step 4: Simplify right side
    13,710x = 884,586,564
  5. Step 5: Solve for x
    x = 884,586,564/13,710
  6. Step 6: Final answer
    x = 64,521.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.