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Finding the Third Proportional to 488,757.38 and 777,360.38

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Solution

The third proportional to 488,757.38 and 777,360.38 is: 1,236,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,757.38 : 777,360.38 = 777,360.38 : x
  2. Step 2: Convert to fraction form
    488,757.38/777,360.38 = 777,360.38/x
  3. Step 3: Cross multiply
    488,757.38x = 777,360.38 × 777,360.38
  4. Step 4: Simplify right side
    488,757.38x = 604,289,152,620.14
  5. Step 5: Solve for x
    x = 604,289,152,620.14/488,757.38
  6. Step 6: Final answer
    x = 1,236,378.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.