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Finding the Third Proportional to 29,640 and 64,744

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Solution

The third proportional to 29,640 and 64,744 is: 141,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,640 : 64,744 = 64,744 : x
  2. Step 2: Convert to fraction form
    29,640/64,744 = 64,744/x
  3. Step 3: Cross multiply
    29,640x = 64,744 × 64,744
  4. Step 4: Simplify right side
    29,640x = 4,191,785,536
  5. Step 5: Solve for x
    x = 4,191,785,536/29,640
  6. Step 6: Final answer
    x = 141,423.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.