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Finding the Third Proportional to 442,968 and 687,233

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Solution

The third proportional to 442,968 and 687,233 is: 1,066,192.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,968 : 687,233 = 687,233 : x
  2. Step 2: Convert to fraction form
    442,968/687,233 = 687,233/x
  3. Step 3: Cross multiply
    442,968x = 687,233 × 687,233
  4. Step 4: Simplify right side
    442,968x = 472,289,196,289
  5. Step 5: Solve for x
    x = 472,289,196,289/442,968
  6. Step 6: Final answer
    x = 1,066,192.58

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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.