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Finding the Third Proportional to 313,902 and 686,118

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Solution

The third proportional to 313,902 and 686,118 is: 1,499,697.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,902 : 686,118 = 686,118 : x
  2. Step 2: Convert to fraction form
    313,902/686,118 = 686,118/x
  3. Step 3: Cross multiply
    313,902x = 686,118 × 686,118
  4. Step 4: Simplify right side
    313,902x = 470,757,909,924
  5. Step 5: Solve for x
    x = 470,757,909,924/313,902
  6. Step 6: Final answer
    x = 1,499,697.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.