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Finding the Third Proportional to 65,661 and 99,270

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Solution

The third proportional to 65,661 and 99,270 is: 150,081.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,661 : 99,270 = 99,270 : x
  2. Step 2: Convert to fraction form
    65,661/99,270 = 99,270/x
  3. Step 3: Cross multiply
    65,661x = 99,270 × 99,270
  4. Step 4: Simplify right side
    65,661x = 9,854,532,900
  5. Step 5: Solve for x
    x = 9,854,532,900/65,661
  6. Step 6: Final answer
    x = 150,081.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.