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Finding the Third Proportional to 55,190 and 85,438

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Solution

The third proportional to 55,190 and 85,438 is: 132,264.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,190 : 85,438 = 85,438 : x
  2. Step 2: Convert to fraction form
    55,190/85,438 = 85,438/x
  3. Step 3: Cross multiply
    55,190x = 85,438 × 85,438
  4. Step 4: Simplify right side
    55,190x = 7,299,651,844
  5. Step 5: Solve for x
    x = 7,299,651,844/55,190
  6. Step 6: Final answer
    x = 132,264.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.