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Finding the Third Proportional to 43,427 and 90,310

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Solution

The third proportional to 43,427 and 90,310 is: 187,807.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,427 : 90,310 = 90,310 : x
  2. Step 2: Convert to fraction form
    43,427/90,310 = 90,310/x
  3. Step 3: Cross multiply
    43,427x = 90,310 × 90,310
  4. Step 4: Simplify right side
    43,427x = 8,155,896,100
  5. Step 5: Solve for x
    x = 8,155,896,100/43,427
  6. Step 6: Final answer
    x = 187,807.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.