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Finding the Third Proportional to 345,115,500 and 485,428,002

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Solution

The third proportional to 345,115,500 and 485,428,002 is: 682,786,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,115,500 : 485,428,002 = 485,428,002 : x
  2. Step 2: Convert to fraction form
    345,115,500/485,428,002 = 485,428,002/x
  3. Step 3: Cross multiply
    345,115,500x = 485,428,002 × 485,428,002
  4. Step 4: Simplify right side
    345,115,500x = 235,640,345,125,712,000
  5. Step 5: Solve for x
    x = 235,640,345,125,712,000/345,115,500
  6. Step 6: Final answer
    x = 682,786,907.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.