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Finding the Third Proportional to 319,972 and 687,431

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Solution

The third proportional to 319,972 and 687,431 is: 1,476,883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,972 : 687,431 = 687,431 : x
  2. Step 2: Convert to fraction form
    319,972/687,431 = 687,431/x
  3. Step 3: Cross multiply
    319,972x = 687,431 × 687,431
  4. Step 4: Simplify right side
    319,972x = 472,561,379,761
  5. Step 5: Solve for x
    x = 472,561,379,761/319,972
  6. Step 6: Final answer
    x = 1,476,883.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.