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Finding the Third Proportional to 356,112 and 840,636

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Solution

The third proportional to 356,112 and 840,636 is: 1,984,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,112 : 840,636 = 840,636 : x
  2. Step 2: Convert to fraction form
    356,112/840,636 = 840,636/x
  3. Step 3: Cross multiply
    356,112x = 840,636 × 840,636
  4. Step 4: Simplify right side
    356,112x = 706,668,884,496
  5. Step 5: Solve for x
    x = 706,668,884,496/356,112
  6. Step 6: Final answer
    x = 1,984,400.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.