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Finding the Third Proportional to 220,668 and 472,440

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Solution

The third proportional to 220,668 and 472,440 is: 1,011,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,668 : 472,440 = 472,440 : x
  2. Step 2: Convert to fraction form
    220,668/472,440 = 472,440/x
  3. Step 3: Cross multiply
    220,668x = 472,440 × 472,440
  4. Step 4: Simplify right side
    220,668x = 223,199,553,600
  5. Step 5: Solve for x
    x = 223,199,553,600/220,668
  6. Step 6: Final answer
    x = 1,011,472.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.