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Finding the Third Proportional to 418,756 and 859,688

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Solution

The third proportional to 418,756 and 859,688 is: 1,764,902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,756 : 859,688 = 859,688 : x
  2. Step 2: Convert to fraction form
    418,756/859,688 = 859,688/x
  3. Step 3: Cross multiply
    418,756x = 859,688 × 859,688
  4. Step 4: Simplify right side
    418,756x = 739,063,457,344
  5. Step 5: Solve for x
    x = 739,063,457,344/418,756
  6. Step 6: Final answer
    x = 1,764,902.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.