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Finding the Third Proportional to 319,984 and 687,453

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Solution

The third proportional to 319,984 and 687,453 is: 1,476,922.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,984 : 687,453 = 687,453 : x
  2. Step 2: Convert to fraction form
    319,984/687,453 = 687,453/x
  3. Step 3: Cross multiply
    319,984x = 687,453 × 687,453
  4. Step 4: Simplify right side
    319,984x = 472,591,627,209
  5. Step 5: Solve for x
    x = 472,591,627,209/319,984
  6. Step 6: Final answer
    x = 1,476,922.68

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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.