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Finding the Third Proportional to 298,864.69 and 644,957.44

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Solution

The third proportional to 298,864.69 and 644,957.44 is: 1,391,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,864.69 : 644,957.44 = 644,957.44 : x
  2. Step 2: Convert to fraction form
    298,864.69/644,957.44 = 644,957.44/x
  3. Step 3: Cross multiply
    298,864.69x = 644,957.44 × 644,957.44
  4. Step 4: Simplify right side
    298,864.69x = 415,970,096,186.57
  5. Step 5: Solve for x
    x = 415,970,096,186.57/298,864.69
  6. Step 6: Final answer
    x = 1,391,834.21

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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.