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Finding the Third Proportional to 459,568 and 661,920

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Solution

The third proportional to 459,568 and 661,920 is: 953,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,568 : 661,920 = 661,920 : x
  2. Step 2: Convert to fraction form
    459,568/661,920 = 661,920/x
  3. Step 3: Cross multiply
    459,568x = 661,920 × 661,920
  4. Step 4: Simplify right side
    459,568x = 438,138,086,400
  5. Step 5: Solve for x
    x = 438,138,086,400/459,568
  6. Step 6: Final answer
    x = 953,369.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.