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Finding the Third Proportional to 310,936 and 687,212

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Solution

The third proportional to 310,936 and 687,212 is: 1,518,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,936 : 687,212 = 687,212 : x
  2. Step 2: Convert to fraction form
    310,936/687,212 = 687,212/x
  3. Step 3: Cross multiply
    310,936x = 687,212 × 687,212
  4. Step 4: Simplify right side
    310,936x = 472,260,332,944
  5. Step 5: Solve for x
    x = 472,260,332,944/310,936
  6. Step 6: Final answer
    x = 1,518,834.53

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.