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Finding the Third Proportional to 678,998.50 and 1,493,585

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Solution

The third proportional to 678,998.50 and 1,493,585 is: 3,285,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,998.50 : 1,493,585 = 1,493,585 : x
  2. Step 2: Convert to fraction form
    678,998.50/1,493,585 = 1,493,585/x
  3. Step 3: Cross multiply
    678,998.50x = 1,493,585 × 1,493,585
  4. Step 4: Simplify right side
    678,998.50x = 2,230,796,152,225
  5. Step 5: Solve for x
    x = 2,230,796,152,225/678,998.50
  6. Step 6: Final answer
    x = 3,285,421.33

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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.