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Finding the Third Proportional to 284,264 and 618,639

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Solution

The third proportional to 284,264 and 618,639 is: 1,346,333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,264 : 618,639 = 618,639 : x
  2. Step 2: Convert to fraction form
    284,264/618,639 = 618,639/x
  3. Step 3: Cross multiply
    284,264x = 618,639 × 618,639
  4. Step 4: Simplify right side
    284,264x = 382,714,212,321
  5. Step 5: Solve for x
    x = 382,714,212,321/284,264
  6. Step 6: Final answer
    x = 1,346,333.73

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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.