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Finding the Third Proportional to 297,221 and 642,922

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Solution

The third proportional to 297,221 and 642,922 is: 1,390,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,221 : 642,922 = 642,922 : x
  2. Step 2: Convert to fraction form
    297,221/642,922 = 642,922/x
  3. Step 3: Cross multiply
    297,221x = 642,922 × 642,922
  4. Step 4: Simplify right side
    297,221x = 413,348,698,084
  5. Step 5: Solve for x
    x = 413,348,698,084/297,221
  6. Step 6: Final answer
    x = 1,390,711.62

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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.