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Finding the Third Proportional to 420,930 and 923,352

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Solution

The third proportional to 420,930 and 923,352 is: 2,025,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,930 : 923,352 = 923,352 : x
  2. Step 2: Convert to fraction form
    420,930/923,352 = 923,352/x
  3. Step 3: Cross multiply
    420,930x = 923,352 × 923,352
  4. Step 4: Simplify right side
    420,930x = 852,578,915,904
  5. Step 5: Solve for x
    x = 852,578,915,904/420,930
  6. Step 6: Final answer
    x = 2,025,464.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.