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Finding the Third Proportional to 442,888 and 687,648

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Solution

The third proportional to 442,888 and 687,648 is: 1,067,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,888 : 687,648 = 687,648 : x
  2. Step 2: Convert to fraction form
    442,888/687,648 = 687,648/x
  3. Step 3: Cross multiply
    442,888x = 687,648 × 687,648
  4. Step 4: Simplify right side
    442,888x = 472,859,771,904
  5. Step 5: Solve for x
    x = 472,859,771,904/442,888
  6. Step 6: Final answer
    x = 1,067,673.48

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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.