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Finding the Third Proportional to 298,653 and 644,808

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Solution

The third proportional to 298,653 and 644,808 is: 1,392,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,653 : 644,808 = 644,808 : x
  2. Step 2: Convert to fraction form
    298,653/644,808 = 644,808/x
  3. Step 3: Cross multiply
    298,653x = 644,808 × 644,808
  4. Step 4: Simplify right side
    298,653x = 415,777,356,864
  5. Step 5: Solve for x
    x = 415,777,356,864/298,653
  6. Step 6: Final answer
    x = 1,392,175.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.