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Finding the Third Proportional to 213,420 and 466,200

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Solution

The third proportional to 213,420 and 466,200 is: 1,018,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,420 : 466,200 = 466,200 : x
  2. Step 2: Convert to fraction form
    213,420/466,200 = 466,200/x
  3. Step 3: Cross multiply
    213,420x = 466,200 × 466,200
  4. Step 4: Simplify right side
    213,420x = 217,342,440,000
  5. Step 5: Solve for x
    x = 217,342,440,000/213,420
  6. Step 6: Final answer
    x = 1,018,378.97

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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.