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Finding the Third Proportional to 285,856 and 644,548

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Solution

The third proportional to 285,856 and 644,548 is: 1,453,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,856 : 644,548 = 644,548 : x
  2. Step 2: Convert to fraction form
    285,856/644,548 = 644,548/x
  3. Step 3: Cross multiply
    285,856x = 644,548 × 644,548
  4. Step 4: Simplify right side
    285,856x = 415,442,124,304
  5. Step 5: Solve for x
    x = 415,442,124,304/285,856
  6. Step 6: Final answer
    x = 1,453,326.59

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.