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Finding the Third Proportional to 442,989 and 687,234

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Solution

The third proportional to 442,989 and 687,234 is: 1,066,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,989 : 687,234 = 687,234 : x
  2. Step 2: Convert to fraction form
    442,989/687,234 = 687,234/x
  3. Step 3: Cross multiply
    442,989x = 687,234 × 687,234
  4. Step 4: Simplify right side
    442,989x = 472,290,570,756
  5. Step 5: Solve for x
    x = 472,290,570,756/442,989
  6. Step 6: Final answer
    x = 1,066,145.14

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