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Finding the Third Proportional to 423,104 and 915,872

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Solution

The third proportional to 423,104 and 915,872 is: 1,982,542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,104 : 915,872 = 915,872 : x
  2. Step 2: Convert to fraction form
    423,104/915,872 = 915,872/x
  3. Step 3: Cross multiply
    423,104x = 915,872 × 915,872
  4. Step 4: Simplify right side
    423,104x = 838,821,520,384
  5. Step 5: Solve for x
    x = 838,821,520,384/423,104
  6. Step 6: Final answer
    x = 1,982,542.17

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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.