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Finding the Third Proportional to 455,999 and 681,445

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Solution

The third proportional to 455,999 and 681,445 is: 1,018,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,999 : 681,445 = 681,445 : x
  2. Step 2: Convert to fraction form
    455,999/681,445 = 681,445/x
  3. Step 3: Cross multiply
    455,999x = 681,445 × 681,445
  4. Step 4: Simplify right side
    455,999x = 464,367,288,025
  5. Step 5: Solve for x
    x = 464,367,288,025/455,999
  6. Step 6: Final answer
    x = 1,018,351.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.