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Finding the Third Proportional to 29,976 and 64,569

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Solution

The third proportional to 29,976 and 64,569 is: 139,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,976 : 64,569 = 64,569 : x
  2. Step 2: Convert to fraction form
    29,976/64,569 = 64,569/x
  3. Step 3: Cross multiply
    29,976x = 64,569 × 64,569
  4. Step 4: Simplify right side
    29,976x = 4,169,155,761
  5. Step 5: Solve for x
    x = 4,169,155,761/29,976
  6. Step 6: Final answer
    x = 139,083.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.