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Finding the Third Proportional to 85,543 and 187,854

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Solution

The third proportional to 85,543 and 187,854 is: 412,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,543 : 187,854 = 187,854 : x
  2. Step 2: Convert to fraction form
    85,543/187,854 = 187,854/x
  3. Step 3: Cross multiply
    85,543x = 187,854 × 187,854
  4. Step 4: Simplify right side
    85,543x = 35,289,125,316
  5. Step 5: Solve for x
    x = 35,289,125,316/85,543
  6. Step 6: Final answer
    x = 412,530.84

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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.