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Finding the Third Proportional to 65,643.50 and 133,695.50

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Solution

The third proportional to 65,643.50 and 133,695.50 is: 272,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,643.50 : 133,695.50 = 133,695.50 : x
  2. Step 2: Convert to fraction form
    65,643.50/133,695.50 = 133,695.50/x
  3. Step 3: Cross multiply
    65,643.50x = 133,695.50 × 133,695.50
  4. Step 4: Simplify right side
    65,643.50x = 17,874,486,720.25
  5. Step 5: Solve for x
    x = 17,874,486,720.25/65,643.50
  6. Step 6: Final answer
    x = 272,296.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.