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Finding the Third Proportional to 298,505 and 462,216

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Solution

The third proportional to 298,505 and 462,216 is: 715,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,505 : 462,216 = 462,216 : x
  2. Step 2: Convert to fraction form
    298,505/462,216 = 462,216/x
  3. Step 3: Cross multiply
    298,505x = 462,216 × 462,216
  4. Step 4: Simplify right side
    298,505x = 213,643,630,656
  5. Step 5: Solve for x
    x = 213,643,630,656/298,505
  6. Step 6: Final answer
    x = 715,712.07

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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.