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Finding the Third Proportional to 488,781 and 682,840.13

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Solution

The third proportional to 488,781 and 682,840.13 is: 953,945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,781 : 682,840.13 = 682,840.13 : x
  2. Step 2: Convert to fraction form
    488,781/682,840.13 = 682,840.13/x
  3. Step 3: Cross multiply
    488,781x = 682,840.13 × 682,840.13
  4. Step 4: Simplify right side
    488,781x = 466,270,636,310.02
  5. Step 5: Solve for x
    x = 466,270,636,310.02/488,781
  6. Step 6: Final answer
    x = 953,945.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.