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Finding the Third Proportional to 354,398 and 757,972

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Solution

The third proportional to 354,398 and 757,972 is: 1,621,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,398 : 757,972 = 757,972 : x
  2. Step 2: Convert to fraction form
    354,398/757,972 = 757,972/x
  3. Step 3: Cross multiply
    354,398x = 757,972 × 757,972
  4. Step 4: Simplify right side
    354,398x = 574,521,552,784
  5. Step 5: Solve for x
    x = 574,521,552,784/354,398
  6. Step 6: Final answer
    x = 1,621,119.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.