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Finding the Third Proportional to 442,936 and 687,155

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Solution

The third proportional to 442,936 and 687,155 is: 1,066,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,936 : 687,155 = 687,155 : x
  2. Step 2: Convert to fraction form
    442,936/687,155 = 687,155/x
  3. Step 3: Cross multiply
    442,936x = 687,155 × 687,155
  4. Step 4: Simplify right side
    442,936x = 472,181,994,025
  5. Step 5: Solve for x
    x = 472,181,994,025/442,936
  6. Step 6: Final answer
    x = 1,066,027.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.