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Finding the Third Proportional to 38,434 and 57,407

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Solution

The third proportional to 38,434 and 57,407 is: 85,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,434 : 57,407 = 57,407 : x
  2. Step 2: Convert to fraction form
    38,434/57,407 = 57,407/x
  3. Step 3: Cross multiply
    38,434x = 57,407 × 57,407
  4. Step 4: Simplify right side
    38,434x = 3,295,563,649
  5. Step 5: Solve for x
    x = 3,295,563,649/38,434
  6. Step 6: Final answer
    x = 85,746.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.