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Finding the Third Proportional to 289,930 and 438,904

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Solution

The third proportional to 289,930 and 438,904 is: 664,424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,930 : 438,904 = 438,904 : x
  2. Step 2: Convert to fraction form
    289,930/438,904 = 438,904/x
  3. Step 3: Cross multiply
    289,930x = 438,904 × 438,904
  4. Step 4: Simplify right side
    289,930x = 192,636,721,216
  5. Step 5: Solve for x
    x = 192,636,721,216/289,930
  6. Step 6: Final answer
    x = 664,424.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.