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Finding the Third Proportional to 580,320 and 821,880

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Solution

The third proportional to 580,320 and 821,880 is: 1,163,990.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,320 : 821,880 = 821,880 : x
  2. Step 2: Convert to fraction form
    580,320/821,880 = 821,880/x
  3. Step 3: Cross multiply
    580,320x = 821,880 × 821,880
  4. Step 4: Simplify right side
    580,320x = 675,486,734,400
  5. Step 5: Solve for x
    x = 675,486,734,400/580,320
  6. Step 6: Final answer
    x = 1,163,990.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.