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Finding the Third Proportional to 4,531.78 and 7,457.91

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Solution

The third proportional to 4,531.78 and 7,457.91 is: 12,273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.78 : 7,457.91 = 7,457.91 : x
  2. Step 2: Convert to fraction form
    4,531.78/7,457.91 = 7,457.91/x
  3. Step 3: Cross multiply
    4,531.78x = 7,457.91 × 7,457.91
  4. Step 4: Simplify right side
    4,531.78x = 55,620,365.63
  5. Step 5: Solve for x
    x = 55,620,365.63/4,531.78
  6. Step 6: Final answer
    x = 12,273.40

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.