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Finding the Third Proportional to 685,350 and 1,485,110

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Solution

The third proportional to 685,350 and 1,485,110 is: 3,218,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,350 : 1,485,110 = 1,485,110 : x
  2. Step 2: Convert to fraction form
    685,350/1,485,110 = 1,485,110/x
  3. Step 3: Cross multiply
    685,350x = 1,485,110 × 1,485,110
  4. Step 4: Simplify right side
    685,350x = 2,205,551,712,100
  5. Step 5: Solve for x
    x = 2,205,551,712,100/685,350
  6. Step 6: Final answer
    x = 3,218,139.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.