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Finding the Third Proportional to 247,683 and 393,623

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Solution

The third proportional to 247,683 and 393,623 is: 625,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,683 : 393,623 = 393,623 : x
  2. Step 2: Convert to fraction form
    247,683/393,623 = 393,623/x
  3. Step 3: Cross multiply
    247,683x = 393,623 × 393,623
  4. Step 4: Simplify right side
    247,683x = 154,939,066,129
  5. Step 5: Solve for x
    x = 154,939,066,129/247,683
  6. Step 6: Final answer
    x = 625,553.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.