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Finding the Third Proportional to 299,426 and 656,819

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Solution

The third proportional to 299,426 and 656,819 is: 1,440,794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,426 : 656,819 = 656,819 : x
  2. Step 2: Convert to fraction form
    299,426/656,819 = 656,819/x
  3. Step 3: Cross multiply
    299,426x = 656,819 × 656,819
  4. Step 4: Simplify right side
    299,426x = 431,411,198,761
  5. Step 5: Solve for x
    x = 431,411,198,761/299,426
  6. Step 6: Final answer
    x = 1,440,794.05

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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.