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Finding the Third Proportional to 216,641 and 472,648

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Solution

The third proportional to 216,641 and 472,648 is: 1,031,181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,641 : 472,648 = 472,648 : x
  2. Step 2: Convert to fraction form
    216,641/472,648 = 472,648/x
  3. Step 3: Cross multiply
    216,641x = 472,648 × 472,648
  4. Step 4: Simplify right side
    216,641x = 223,396,131,904
  5. Step 5: Solve for x
    x = 223,396,131,904/216,641
  6. Step 6: Final answer
    x = 1,031,181.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.