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Finding the Third Proportional to 3,124.41 and 4,720.78

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Solution

The third proportional to 3,124.41 and 4,720.78 is: 7,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.41 : 4,720.78 = 4,720.78 : x
  2. Step 2: Convert to fraction form
    3,124.41/4,720.78 = 4,720.78/x
  3. Step 3: Cross multiply
    3,124.41x = 4,720.78 × 4,720.78
  4. Step 4: Simplify right side
    3,124.41x = 22,285,775.61
  5. Step 5: Solve for x
    x = 22,285,775.61/3,124.41
  6. Step 6: Final answer
    x = 7,132.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.