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Finding the Third Proportional to 4,737 and 11,182.50

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Solution

The third proportional to 4,737 and 11,182.50 is: 26,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737 : 11,182.50 = 11,182.50 : x
  2. Step 2: Convert to fraction form
    4,737/11,182.50 = 11,182.50/x
  3. Step 3: Cross multiply
    4,737x = 11,182.50 × 11,182.50
  4. Step 4: Simplify right side
    4,737x = 125,048,306.25
  5. Step 5: Solve for x
    x = 125,048,306.25/4,737
  6. Step 6: Final answer
    x = 26,398.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.