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Finding the Third Proportional to 213,603 and 461,469

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Solution

The third proportional to 213,603 and 461,469 is: 996,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,603 : 461,469 = 461,469 : x
  2. Step 2: Convert to fraction form
    213,603/461,469 = 461,469/x
  3. Step 3: Cross multiply
    213,603x = 461,469 × 461,469
  4. Step 4: Simplify right side
    213,603x = 212,953,637,961
  5. Step 5: Solve for x
    x = 212,953,637,961/213,603
  6. Step 6: Final answer
    x = 996,959.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.