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Finding the Third Proportional to 65,761.88 and 140,271.75

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Solution

The third proportional to 65,761.88 and 140,271.75 is: 299,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,761.88 : 140,271.75 = 140,271.75 : x
  2. Step 2: Convert to fraction form
    65,761.88/140,271.75 = 140,271.75/x
  3. Step 3: Cross multiply
    65,761.88x = 140,271.75 × 140,271.75
  4. Step 4: Simplify right side
    65,761.88x = 19,676,163,848.06
  5. Step 5: Solve for x
    x = 19,676,163,848.06/65,761.88
  6. Step 6: Final answer
    x = 299,203.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.