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Finding the Third Proportional to 295,418 and 644,304

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Solution

The third proportional to 295,418 and 644,304 is: 1,405,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,418 : 644,304 = 644,304 : x
  2. Step 2: Convert to fraction form
    295,418/644,304 = 644,304/x
  3. Step 3: Cross multiply
    295,418x = 644,304 × 644,304
  4. Step 4: Simplify right side
    295,418x = 415,127,644,416
  5. Step 5: Solve for x
    x = 415,127,644,416/295,418
  6. Step 6: Final answer
    x = 1,405,221.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.