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Finding the Third Proportional to 678,998 and 1,493,584

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Solution

The third proportional to 678,998 and 1,493,584 is: 3,285,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,998 : 1,493,584 = 1,493,584 : x
  2. Step 2: Convert to fraction form
    678,998/1,493,584 = 1,493,584/x
  3. Step 3: Cross multiply
    678,998x = 1,493,584 × 1,493,584
  4. Step 4: Simplify right side
    678,998x = 2,230,793,165,056
  5. Step 5: Solve for x
    x = 2,230,793,165,056/678,998
  6. Step 6: Final answer
    x = 3,285,419.35

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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.