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Finding the Third Proportional to 308,887 and 676,822

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Solution

The third proportional to 308,887 and 676,822 is: 1,483,027.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,887 : 676,822 = 676,822 : x
  2. Step 2: Convert to fraction form
    308,887/676,822 = 676,822/x
  3. Step 3: Cross multiply
    308,887x = 676,822 × 676,822
  4. Step 4: Simplify right side
    308,887x = 458,088,019,684
  5. Step 5: Solve for x
    x = 458,088,019,684/308,887
  6. Step 6: Final answer
    x = 1,483,027.84

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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.