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Finding the Third Proportional to 85,862 and 187,987

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Solution

The third proportional to 85,862 and 187,987 is: 411,580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,862 : 187,987 = 187,987 : x
  2. Step 2: Convert to fraction form
    85,862/187,987 = 187,987/x
  3. Step 3: Cross multiply
    85,862x = 187,987 × 187,987
  4. Step 4: Simplify right side
    85,862x = 35,339,112,169
  5. Step 5: Solve for x
    x = 35,339,112,169/85,862
  6. Step 6: Final answer
    x = 411,580.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.