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Finding the Third Proportional to 840,744 and 1,280,556

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Solution

The third proportional to 840,744 and 1,280,556 is: 1,950,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,744 : 1,280,556 = 1,280,556 : x
  2. Step 2: Convert to fraction form
    840,744/1,280,556 = 1,280,556/x
  3. Step 3: Cross multiply
    840,744x = 1,280,556 × 1,280,556
  4. Step 4: Simplify right side
    840,744x = 1,639,823,669,136
  5. Step 5: Solve for x
    x = 1,639,823,669,136/840,744
  6. Step 6: Final answer
    x = 1,950,443.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.