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Finding the Third Proportional to 297,815 and 642,283

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Solution

The third proportional to 297,815 and 642,283 is: 1,385,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,815 : 642,283 = 642,283 : x
  2. Step 2: Convert to fraction form
    297,815/642,283 = 642,283/x
  3. Step 3: Cross multiply
    297,815x = 642,283 × 642,283
  4. Step 4: Simplify right side
    297,815x = 412,527,452,089
  5. Step 5: Solve for x
    x = 412,527,452,089/297,815
  6. Step 6: Final answer
    x = 1,385,180.24

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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.