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Finding the Third Proportional to 57,488 and 84,000

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Solution

The third proportional to 57,488 and 84,000 is: 122,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,488 : 84,000 = 84,000 : x
  2. Step 2: Convert to fraction form
    57,488/84,000 = 84,000/x
  3. Step 3: Cross multiply
    57,488x = 84,000 × 84,000
  4. Step 4: Simplify right side
    57,488x = 7,056,000,000
  5. Step 5: Solve for x
    x = 7,056,000,000/57,488
  6. Step 6: Final answer
    x = 122,738.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.