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Finding the Third Proportional to 4,780.90 and 7,189.70

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Solution

The third proportional to 4,780.90 and 7,189.70 is: 10,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.90 : 7,189.70 = 7,189.70 : x
  2. Step 2: Convert to fraction form
    4,780.90/7,189.70 = 7,189.70/x
  3. Step 3: Cross multiply
    4,780.90x = 7,189.70 × 7,189.70
  4. Step 4: Simplify right side
    4,780.90x = 51,691,774.86
  5. Step 5: Solve for x
    x = 51,691,774.86/4,780.90
  6. Step 6: Final answer
    x = 10,812.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.