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Finding the Third Proportional to 455,995 and 681,439

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Solution

The third proportional to 455,995 and 681,439 is: 1,018,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,995 : 681,439 = 681,439 : x
  2. Step 2: Convert to fraction form
    455,995/681,439 = 681,439/x
  3. Step 3: Cross multiply
    455,995x = 681,439 × 681,439
  4. Step 4: Simplify right side
    455,995x = 464,359,110,721
  5. Step 5: Solve for x
    x = 464,359,110,721/455,995
  6. Step 6: Final answer
    x = 1,018,342.55

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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.