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Finding the Third Proportional to 383,343 and 840,497

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Solution

The third proportional to 383,343 and 840,497 is: 1,842,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,343 : 840,497 = 840,497 : x
  2. Step 2: Convert to fraction form
    383,343/840,497 = 840,497/x
  3. Step 3: Cross multiply
    383,343x = 840,497 × 840,497
  4. Step 4: Simplify right side
    383,343x = 706,435,207,009
  5. Step 5: Solve for x
    x = 706,435,207,009/383,343
  6. Step 6: Final answer
    x = 1,842,827.98

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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.