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Finding the Third Proportional to 85,358 and 135,723

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Solution

The third proportional to 85,358 and 135,723 is: 215,805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,358 : 135,723 = 135,723 : x
  2. Step 2: Convert to fraction form
    85,358/135,723 = 135,723/x
  3. Step 3: Cross multiply
    85,358x = 135,723 × 135,723
  4. Step 4: Simplify right side
    85,358x = 18,420,732,729
  5. Step 5: Solve for x
    x = 18,420,732,729/85,358
  6. Step 6: Final answer
    x = 215,805.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.