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Finding the Third Proportional to 85,515 and 187,122

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Solution

The third proportional to 85,515 and 187,122 is: 409,456.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,515 : 187,122 = 187,122 : x
  2. Step 2: Convert to fraction form
    85,515/187,122 = 187,122/x
  3. Step 3: Cross multiply
    85,515x = 187,122 × 187,122
  4. Step 4: Simplify right side
    85,515x = 35,014,642,884
  5. Step 5: Solve for x
    x = 35,014,642,884/85,515
  6. Step 6: Final answer
    x = 409,456.15

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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.