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Finding the Third Proportional to 2,130.75 and 4,737.38

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Solution

The third proportional to 2,130.75 and 4,737.38 is: 10,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.75 : 4,737.38 = 4,737.38 : x
  2. Step 2: Convert to fraction form
    2,130.75/4,737.38 = 4,737.38/x
  3. Step 3: Cross multiply
    2,130.75x = 4,737.38 × 4,737.38
  4. Step 4: Simplify right side
    2,130.75x = 22,442,721.89
  5. Step 5: Solve for x
    x = 22,442,721.89/2,130.75
  6. Step 6: Final answer
    x = 10,532.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.