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Finding the Third Proportional to 295,479 and 644,421

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Solution

The third proportional to 295,479 and 644,421 is: 1,405,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,479 : 644,421 = 644,421 : x
  2. Step 2: Convert to fraction form
    295,479/644,421 = 644,421/x
  3. Step 3: Cross multiply
    295,479x = 644,421 × 644,421
  4. Step 4: Simplify right side
    295,479x = 415,278,425,241
  5. Step 5: Solve for x
    x = 415,278,425,241/295,479
  6. Step 6: Final answer
    x = 1,405,441.42

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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.