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Finding the Third Proportional to 876,421 and 1,320,400

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Solution

The third proportional to 876,421 and 1,320,400 is: 1,989,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,421 : 1,320,400 = 1,320,400 : x
  2. Step 2: Convert to fraction form
    876,421/1,320,400 = 1,320,400/x
  3. Step 3: Cross multiply
    876,421x = 1,320,400 × 1,320,400
  4. Step 4: Simplify right side
    876,421x = 1,743,456,160,000
  5. Step 5: Solve for x
    x = 1,743,456,160,000/876,421
  6. Step 6: Final answer
    x = 1,989,290.72

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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.