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Finding the Third Proportional to 65,693 and 143,982

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Solution

The third proportional to 65,693 and 143,982 is: 315,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,693 : 143,982 = 143,982 : x
  2. Step 2: Convert to fraction form
    65,693/143,982 = 143,982/x
  3. Step 3: Cross multiply
    65,693x = 143,982 × 143,982
  4. Step 4: Simplify right side
    65,693x = 20,730,816,324
  5. Step 5: Solve for x
    x = 20,730,816,324/65,693
  6. Step 6: Final answer
    x = 315,571.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.