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Finding the Third Proportional to 530,720 and 1,122,880

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Solution

The third proportional to 530,720 and 1,122,880 is: 2,375,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,720 : 1,122,880 = 1,122,880 : x
  2. Step 2: Convert to fraction form
    530,720/1,122,880 = 1,122,880/x
  3. Step 3: Cross multiply
    530,720x = 1,122,880 × 1,122,880
  4. Step 4: Simplify right side
    530,720x = 1,260,859,494,400
  5. Step 5: Solve for x
    x = 1,260,859,494,400/530,720
  6. Step 6: Final answer
    x = 2,375,752.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.