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Finding the Third Proportional to 313,276 and 687,788

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Solution

The third proportional to 313,276 and 687,788 is: 1,510,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,276 : 687,788 = 687,788 : x
  2. Step 2: Convert to fraction form
    313,276/687,788 = 687,788/x
  3. Step 3: Cross multiply
    313,276x = 687,788 × 687,788
  4. Step 4: Simplify right side
    313,276x = 473,052,332,944
  5. Step 5: Solve for x
    x = 473,052,332,944/313,276
  6. Step 6: Final answer
    x = 1,510,017.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.