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Finding the Third Proportional to 299,278 and 656,716

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Solution

The third proportional to 299,278 and 656,716 is: 1,441,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,278 : 656,716 = 656,716 : x
  2. Step 2: Convert to fraction form
    299,278/656,716 = 656,716/x
  3. Step 3: Cross multiply
    299,278x = 656,716 × 656,716
  4. Step 4: Simplify right side
    299,278x = 431,275,904,656
  5. Step 5: Solve for x
    x = 431,275,904,656/299,278
  6. Step 6: Final answer
    x = 1,441,054.49

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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.