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Finding the Third Proportional to 455,994 and 681,438

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Solution

The third proportional to 455,994 and 681,438 is: 1,018,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,994 : 681,438 = 681,438 : x
  2. Step 2: Convert to fraction form
    455,994/681,438 = 681,438/x
  3. Step 3: Cross multiply
    455,994x = 681,438 × 681,438
  4. Step 4: Simplify right side
    455,994x = 464,357,747,844
  5. Step 5: Solve for x
    x = 464,357,747,844/455,994
  6. Step 6: Final answer
    x = 1,018,341.79

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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.