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Finding the Third Proportional to 315,943 and 685,087

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Solution

The third proportional to 315,943 and 685,087 is: 1,485,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,943 : 685,087 = 685,087 : x
  2. Step 2: Convert to fraction form
    315,943/685,087 = 685,087/x
  3. Step 3: Cross multiply
    315,943x = 685,087 × 685,087
  4. Step 4: Simplify right side
    315,943x = 469,344,197,569
  5. Step 5: Solve for x
    x = 469,344,197,569/315,943
  6. Step 6: Final answer
    x = 1,485,534.41

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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.