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Finding the Third Proportional to 200,420 and 497,462

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Solution

The third proportional to 200,420 and 497,462 is: 1,234,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,420 : 497,462 = 497,462 : x
  2. Step 2: Convert to fraction form
    200,420/497,462 = 497,462/x
  3. Step 3: Cross multiply
    200,420x = 497,462 × 497,462
  4. Step 4: Simplify right side
    200,420x = 247,468,441,444
  5. Step 5: Solve for x
    x = 247,468,441,444/200,420
  6. Step 6: Final answer
    x = 1,234,749.23

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.