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Finding the Third Proportional to 85,455 and 187,000.50

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Solution

The third proportional to 85,455 and 187,000.50 is: 409,211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,455 : 187,000.50 = 187,000.50 : x
  2. Step 2: Convert to fraction form
    85,455/187,000.50 = 187,000.50/x
  3. Step 3: Cross multiply
    85,455x = 187,000.50 × 187,000.50
  4. Step 4: Simplify right side
    85,455x = 34,969,187,000.25
  5. Step 5: Solve for x
    x = 34,969,187,000.25/85,455
  6. Step 6: Final answer
    x = 409,211.71

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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.