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Finding the Third Proportional to 455,997 and 681,442

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Solution

The third proportional to 455,997 and 681,442 is: 1,018,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,997 : 681,442 = 681,442 : x
  2. Step 2: Convert to fraction form
    455,997/681,442 = 681,442/x
  3. Step 3: Cross multiply
    455,997x = 681,442 × 681,442
  4. Step 4: Simplify right side
    455,997x = 464,363,199,364
  5. Step 5: Solve for x
    x = 464,363,199,364/455,997
  6. Step 6: Final answer
    x = 1,018,347.05

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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.