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Finding the Third Proportional to 213,717 and 456,042

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Solution

The third proportional to 213,717 and 456,042 is: 973,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,717 : 456,042 = 456,042 : x
  2. Step 2: Convert to fraction form
    213,717/456,042 = 456,042/x
  3. Step 3: Cross multiply
    213,717x = 456,042 × 456,042
  4. Step 4: Simplify right side
    213,717x = 207,974,305,764
  5. Step 5: Solve for x
    x = 207,974,305,764/213,717
  6. Step 6: Final answer
    x = 973,129.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.