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Finding the Third Proportional to 4,777.13 and 7,378.69

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Solution

The third proportional to 4,777.13 and 7,378.69 is: 11,397.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.13 : 7,378.69 = 7,378.69 : x
  2. Step 2: Convert to fraction form
    4,777.13/7,378.69 = 7,378.69/x
  3. Step 3: Cross multiply
    4,777.13x = 7,378.69 × 7,378.69
  4. Step 4: Simplify right side
    4,777.13x = 54,445,029.22
  5. Step 5: Solve for x
    x = 54,445,029.22/4,777.13
  6. Step 6: Final answer
    x = 11,397.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.