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Finding the Third Proportional to 664,240 and 1,057,451

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Solution

The third proportional to 664,240 and 1,057,451 is: 1,683,431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,240 : 1,057,451 = 1,057,451 : x
  2. Step 2: Convert to fraction form
    664,240/1,057,451 = 1,057,451/x
  3. Step 3: Cross multiply
    664,240x = 1,057,451 × 1,057,451
  4. Step 4: Simplify right side
    664,240x = 1,118,202,617,401
  5. Step 5: Solve for x
    x = 1,118,202,617,401/664,240
  6. Step 6: Final answer
    x = 1,683,431.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.