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Finding the Third Proportional to 57,518 and 84,343

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Solution

The third proportional to 57,518 and 84,343 is: 123,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,518 : 84,343 = 84,343 : x
  2. Step 2: Convert to fraction form
    57,518/84,343 = 84,343/x
  3. Step 3: Cross multiply
    57,518x = 84,343 × 84,343
  4. Step 4: Simplify right side
    57,518x = 7,113,741,649
  5. Step 5: Solve for x
    x = 7,113,741,649/57,518
  6. Step 6: Final answer
    x = 123,678.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.