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Finding the Third Proportional to 5,387.63 and 7,872.47

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Solution

The third proportional to 5,387.63 and 7,872.47 is: 11,503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.63 : 7,872.47 = 7,872.47 : x
  2. Step 2: Convert to fraction form
    5,387.63/7,872.47 = 7,872.47/x
  3. Step 3: Cross multiply
    5,387.63x = 7,872.47 × 7,872.47
  4. Step 4: Simplify right side
    5,387.63x = 61,975,764.22
  5. Step 5: Solve for x
    x = 61,975,764.22/5,387.63
  6. Step 6: Final answer
    x = 11,503.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.