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Finding the Third Proportional to 406,864 and 591,828

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Solution

The third proportional to 406,864 and 591,828 is: 860,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,864 : 591,828 = 591,828 : x
  2. Step 2: Convert to fraction form
    406,864/591,828 = 591,828/x
  3. Step 3: Cross multiply
    406,864x = 591,828 × 591,828
  4. Step 4: Simplify right side
    406,864x = 350,260,381,584
  5. Step 5: Solve for x
    x = 350,260,381,584/406,864
  6. Step 6: Final answer
    x = 860,878.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.