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Finding the Third Proportional to 216,639 and 472,644

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Solution

The third proportional to 216,639 and 472,644 is: 1,031,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,639 : 472,644 = 472,644 : x
  2. Step 2: Convert to fraction form
    216,639/472,644 = 472,644/x
  3. Step 3: Cross multiply
    216,639x = 472,644 × 472,644
  4. Step 4: Simplify right side
    216,639x = 223,392,350,736
  5. Step 5: Solve for x
    x = 223,392,350,736/216,639
  6. Step 6: Final answer
    x = 1,031,173.29

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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.