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Finding the Third Proportional to 418,440 and 921,336

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Solution

The third proportional to 418,440 and 921,336 is: 2,028,630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,440 : 921,336 = 921,336 : x
  2. Step 2: Convert to fraction form
    418,440/921,336 = 921,336/x
  3. Step 3: Cross multiply
    418,440x = 921,336 × 921,336
  4. Step 4: Simplify right side
    418,440x = 848,860,024,896
  5. Step 5: Solve for x
    x = 848,860,024,896/418,440
  6. Step 6: Final answer
    x = 2,028,630.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.