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Finding the Third Proportional to 65,637.84 and 143,982.56

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Solution

The third proportional to 65,637.84 and 143,982.56 is: 315,838.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,637.84 : 143,982.56 = 143,982.56 : x
  2. Step 2: Convert to fraction form
    65,637.84/143,982.56 = 143,982.56/x
  3. Step 3: Cross multiply
    65,637.84x = 143,982.56 × 143,982.56
  4. Step 4: Simplify right side
    65,637.84x = 20,730,978,304.07
  5. Step 5: Solve for x
    x = 20,730,978,304.07/65,637.84
  6. Step 6: Final answer
    x = 315,838.81

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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.