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Finding the Third Proportional to 664,245 and 1,057,455

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Solution

The third proportional to 664,245 and 1,057,455 is: 1,683,431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,245 : 1,057,455 = 1,057,455 : x
  2. Step 2: Convert to fraction form
    664,245/1,057,455 = 1,057,455/x
  3. Step 3: Cross multiply
    664,245x = 1,057,455 × 1,057,455
  4. Step 4: Simplify right side
    664,245x = 1,118,211,077,025
  5. Step 5: Solve for x
    x = 1,118,211,077,025/664,245
  6. Step 6: Final answer
    x = 1,683,431.68

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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.