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Finding the Third Proportional to 85,115 and 187,114

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Solution

The third proportional to 85,115 and 187,114 is: 411,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,115 : 187,114 = 187,114 : x
  2. Step 2: Convert to fraction form
    85,115/187,114 = 187,114/x
  3. Step 3: Cross multiply
    85,115x = 187,114 × 187,114
  4. Step 4: Simplify right side
    85,115x = 35,011,648,996
  5. Step 5: Solve for x
    x = 35,011,648,996/85,115
  6. Step 6: Final answer
    x = 411,345.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.