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Finding the Third Proportional to 4,775.20 and 7,402.64

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Solution

The third proportional to 4,775.20 and 7,402.64 is: 11,475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.20 : 7,402.64 = 7,402.64 : x
  2. Step 2: Convert to fraction form
    4,775.20/7,402.64 = 7,402.64/x
  3. Step 3: Cross multiply
    4,775.20x = 7,402.64 × 7,402.64
  4. Step 4: Simplify right side
    4,775.20x = 54,799,088.22
  5. Step 5: Solve for x
    x = 54,799,088.22/4,775.20
  6. Step 6: Final answer
    x = 11,475.76

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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.