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Finding the Third Proportional to 283,564 and 618,640

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Solution

The third proportional to 283,564 and 618,640 is: 1,349,661.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,564 : 618,640 = 618,640 : x
  2. Step 2: Convert to fraction form
    283,564/618,640 = 618,640/x
  3. Step 3: Cross multiply
    283,564x = 618,640 × 618,640
  4. Step 4: Simplify right side
    283,564x = 382,715,449,600
  5. Step 5: Solve for x
    x = 382,715,449,600/283,564
  6. Step 6: Final answer
    x = 1,349,661.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.