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Finding the Third Proportional to 65,489 and 141,411

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Solution

The third proportional to 65,489 and 141,411 is: 305,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,489 : 141,411 = 141,411 : x
  2. Step 2: Convert to fraction form
    65,489/141,411 = 141,411/x
  3. Step 3: Cross multiply
    65,489x = 141,411 × 141,411
  4. Step 4: Simplify right side
    65,489x = 19,997,070,921
  5. Step 5: Solve for x
    x = 19,997,070,921/65,489
  6. Step 6: Final answer
    x = 305,350.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.