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Finding the Third Proportional to 283,680 and 614,640

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Solution

The third proportional to 283,680 and 614,640 is: 1,331,720

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,680 : 614,640 = 614,640 : x
  2. Step 2: Convert to fraction form
    283,680/614,640 = 614,640/x
  3. Step 3: Cross multiply
    283,680x = 614,640 × 614,640
  4. Step 4: Simplify right side
    283,680x = 377,782,329,600
  5. Step 5: Solve for x
    x = 377,782,329,600/283,680
  6. Step 6: Final answer
    x = 1,331,720

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.