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Finding the Third Proportional to 4,737 and 7,013

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Solution

The third proportional to 4,737 and 7,013 is: 10,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737 : 7,013 = 7,013 : x
  2. Step 2: Convert to fraction form
    4,737/7,013 = 7,013/x
  3. Step 3: Cross multiply
    4,737x = 7,013 × 7,013
  4. Step 4: Simplify right side
    4,737x = 49,182,169
  5. Step 5: Solve for x
    x = 49,182,169/4,737
  6. Step 6: Final answer
    x = 10,382.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.