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Finding the Third Proportional to 299,276 and 656,712

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Solution

The third proportional to 299,276 and 656,712 is: 1,441,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,276 : 656,712 = 656,712 : x
  2. Step 2: Convert to fraction form
    299,276/656,712 = 656,712/x
  3. Step 3: Cross multiply
    299,276x = 656,712 × 656,712
  4. Step 4: Simplify right side
    299,276x = 431,270,650,944
  5. Step 5: Solve for x
    x = 431,270,650,944/299,276
  6. Step 6: Final answer
    x = 1,441,046.56

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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.