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Finding the Third Proportional to 451,998 and 661,824

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Solution

The third proportional to 451,998 and 661,824 is: 969,055.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,998 : 661,824 = 661,824 : x
  2. Step 2: Convert to fraction form
    451,998/661,824 = 661,824/x
  3. Step 3: Cross multiply
    451,998x = 661,824 × 661,824
  4. Step 4: Simplify right side
    451,998x = 438,011,006,976
  5. Step 5: Solve for x
    x = 438,011,006,976/451,998
  6. Step 6: Final answer
    x = 969,055.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.