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Finding the Third Proportional to 209,721 and 456,306

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Solution

The third proportional to 209,721 and 456,306 is: 992,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,721 : 456,306 = 456,306 : x
  2. Step 2: Convert to fraction form
    209,721/456,306 = 456,306/x
  3. Step 3: Cross multiply
    209,721x = 456,306 × 456,306
  4. Step 4: Simplify right side
    209,721x = 208,215,165,636
  5. Step 5: Solve for x
    x = 208,215,165,636/209,721
  6. Step 6: Final answer
    x = 992,819.82

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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.