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Finding the Third Proportional to 213,889 and 299,048

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Solution

The third proportional to 213,889 and 299,048 is: 418,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,889 : 299,048 = 299,048 : x
  2. Step 2: Convert to fraction form
    213,889/299,048 = 299,048/x
  3. Step 3: Cross multiply
    213,889x = 299,048 × 299,048
  4. Step 4: Simplify right side
    213,889x = 89,429,706,304
  5. Step 5: Solve for x
    x = 89,429,706,304/213,889
  6. Step 6: Final answer
    x = 418,112.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.