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Finding the Third Proportional to 876,434 and 1,320,421

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Solution

The third proportional to 876,434 and 1,320,421 is: 1,989,324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,434 : 1,320,421 = 1,320,421 : x
  2. Step 2: Convert to fraction form
    876,434/1,320,421 = 1,320,421/x
  3. Step 3: Cross multiply
    876,434x = 1,320,421 × 1,320,421
  4. Step 4: Simplify right side
    876,434x = 1,743,511,617,241
  5. Step 5: Solve for x
    x = 1,743,511,617,241/876,434
  6. Step 6: Final answer
    x = 1,989,324.49

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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.