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Finding the Third Proportional to 65,744 and 144,664

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Solution

The third proportional to 65,744 and 144,664 is: 318,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,744 : 144,664 = 144,664 : x
  2. Step 2: Convert to fraction form
    65,744/144,664 = 144,664/x
  3. Step 3: Cross multiply
    65,744x = 144,664 × 144,664
  4. Step 4: Simplify right side
    65,744x = 20,927,672,896
  5. Step 5: Solve for x
    x = 20,927,672,896/65,744
  6. Step 6: Final answer
    x = 318,320.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.