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Finding the Third Proportional to 85,403 and 187,438

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Solution

The third proportional to 85,403 and 187,438 is: 411,379.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,403 : 187,438 = 187,438 : x
  2. Step 2: Convert to fraction form
    85,403/187,438 = 187,438/x
  3. Step 3: Cross multiply
    85,403x = 187,438 × 187,438
  4. Step 4: Simplify right side
    85,403x = 35,133,003,844
  5. Step 5: Solve for x
    x = 35,133,003,844/85,403
  6. Step 6: Final answer
    x = 411,379.04

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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.