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Finding the Third Proportional to 4,775.79 and 7,421.97

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Solution

The third proportional to 4,775.79 and 7,421.97 is: 11,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.79 : 7,421.97 = 7,421.97 : x
  2. Step 2: Convert to fraction form
    4,775.79/7,421.97 = 7,421.97/x
  3. Step 3: Cross multiply
    4,775.79x = 7,421.97 × 7,421.97
  4. Step 4: Simplify right side
    4,775.79x = 55,085,654.55
  5. Step 5: Solve for x
    x = 55,085,654.55/4,775.79
  6. Step 6: Final answer
    x = 11,534.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.