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Finding the Third Proportional to 298,503 and 462,213

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Solution

The third proportional to 298,503 and 462,213 is: 715,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,503 : 462,213 = 462,213 : x
  2. Step 2: Convert to fraction form
    298,503/462,213 = 462,213/x
  3. Step 3: Cross multiply
    298,503x = 462,213 × 462,213
  4. Step 4: Simplify right side
    298,503x = 213,640,857,369
  5. Step 5: Solve for x
    x = 213,640,857,369/298,503
  6. Step 6: Final answer
    x = 715,707.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.