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Finding the Third Proportional to 876,419 and 1,320,397

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Solution

The third proportional to 876,419 and 1,320,397 is: 1,989,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,419 : 1,320,397 = 1,320,397 : x
  2. Step 2: Convert to fraction form
    876,419/1,320,397 = 1,320,397/x
  3. Step 3: Cross multiply
    876,419x = 1,320,397 × 1,320,397
  4. Step 4: Simplify right side
    876,419x = 1,743,448,237,609
  5. Step 5: Solve for x
    x = 1,743,448,237,609/876,419
  6. Step 6: Final answer
    x = 1,989,286.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.