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Finding the Third Proportional to 319,779 and 687,942

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Solution

The third proportional to 319,779 and 687,942 is: 1,479,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,779 : 687,942 = 687,942 : x
  2. Step 2: Convert to fraction form
    319,779/687,942 = 687,942/x
  3. Step 3: Cross multiply
    319,779x = 687,942 × 687,942
  4. Step 4: Simplify right side
    319,779x = 473,264,195,364
  5. Step 5: Solve for x
    x = 473,264,195,364/319,779
  6. Step 6: Final answer
    x = 1,479,972.72

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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.