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Finding the Third Proportional to 43,289 and 65,220

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Solution

The third proportional to 43,289 and 65,220 is: 98,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,289 : 65,220 = 65,220 : x
  2. Step 2: Convert to fraction form
    43,289/65,220 = 65,220/x
  3. Step 3: Cross multiply
    43,289x = 65,220 × 65,220
  4. Step 4: Simplify right side
    43,289x = 4,253,648,400
  5. Step 5: Solve for x
    x = 4,253,648,400/43,289
  6. Step 6: Final answer
    x = 98,261.65

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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.