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Finding the Third Proportional to 85,386 and 137,193

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Solution

The third proportional to 85,386 and 137,193 is: 220,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,386 : 137,193 = 137,193 : x
  2. Step 2: Convert to fraction form
    85,386/137,193 = 137,193/x
  3. Step 3: Cross multiply
    85,386x = 137,193 × 137,193
  4. Step 4: Simplify right side
    85,386x = 18,821,919,249
  5. Step 5: Solve for x
    x = 18,821,919,249/85,386
  6. Step 6: Final answer
    x = 220,433.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.