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Finding the Third Proportional to 213,462 and 498,663

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Solution

The third proportional to 213,462 and 498,663 is: 1,164,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,462 : 498,663 = 498,663 : x
  2. Step 2: Convert to fraction form
    213,462/498,663 = 498,663/x
  3. Step 3: Cross multiply
    213,462x = 498,663 × 498,663
  4. Step 4: Simplify right side
    213,462x = 248,664,787,569
  5. Step 5: Solve for x
    x = 248,664,787,569/213,462
  6. Step 6: Final answer
    x = 1,164,913.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.