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Finding the Third Proportional to 213,417 and 464,418

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Solution

The third proportional to 213,417 and 464,418 is: 1,010,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,417 : 464,418 = 464,418 : x
  2. Step 2: Convert to fraction form
    213,417/464,418 = 464,418/x
  3. Step 3: Cross multiply
    213,417x = 464,418 × 464,418
  4. Step 4: Simplify right side
    213,417x = 215,684,078,724
  5. Step 5: Solve for x
    x = 215,684,078,724/213,417
  6. Step 6: Final answer
    x = 1,010,622.77

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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.