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Finding the Third Proportional to 4,154.20 and 8,777.53

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Solution

The third proportional to 4,154.20 and 8,777.53 is: 18,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.20 : 8,777.53 = 8,777.53 : x
  2. Step 2: Convert to fraction form
    4,154.20/8,777.53 = 8,777.53/x
  3. Step 3: Cross multiply
    4,154.20x = 8,777.53 × 8,777.53
  4. Step 4: Simplify right side
    4,154.20x = 77,045,054.84
  5. Step 5: Solve for x
    x = 77,045,054.84/4,154.20
  6. Step 6: Final answer
    x = 18,546.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.