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Finding the Third Proportional to 319,921 and 686,390

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Solution

The third proportional to 319,921 and 686,390 is: 1,472,648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,921 : 686,390 = 686,390 : x
  2. Step 2: Convert to fraction form
    319,921/686,390 = 686,390/x
  3. Step 3: Cross multiply
    319,921x = 686,390 × 686,390
  4. Step 4: Simplify right side
    319,921x = 471,131,232,100
  5. Step 5: Solve for x
    x = 471,131,232,100/319,921
  6. Step 6: Final answer
    x = 1,472,648.66

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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.