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Finding the Third Proportional to 85,679 and 185,659

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Solution

The third proportional to 85,679 and 185,659 is: 402,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,679 : 185,659 = 185,659 : x
  2. Step 2: Convert to fraction form
    85,679/185,659 = 185,659/x
  3. Step 3: Cross multiply
    85,679x = 185,659 × 185,659
  4. Step 4: Simplify right side
    85,679x = 34,469,264,281
  5. Step 5: Solve for x
    x = 34,469,264,281/85,679
  6. Step 6: Final answer
    x = 402,307.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.