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Finding the Third Proportional to 320,951 and 687,444

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Solution

The third proportional to 320,951 and 687,444 is: 1,472,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,951 : 687,444 = 687,444 : x
  2. Step 2: Convert to fraction form
    320,951/687,444 = 687,444/x
  3. Step 3: Cross multiply
    320,951x = 687,444 × 687,444
  4. Step 4: Simplify right side
    320,951x = 472,579,253,136
  5. Step 5: Solve for x
    x = 472,579,253,136/320,951
  6. Step 6: Final answer
    x = 1,472,434.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.