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Finding the Third Proportional to 284,281 and 618,673

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Solution

The third proportional to 284,281 and 618,673 is: 1,346,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,281 : 618,673 = 618,673 : x
  2. Step 2: Convert to fraction form
    284,281/618,673 = 618,673/x
  3. Step 3: Cross multiply
    284,281x = 618,673 × 618,673
  4. Step 4: Simplify right side
    284,281x = 382,756,280,929
  5. Step 5: Solve for x
    x = 382,756,280,929/284,281
  6. Step 6: Final answer
    x = 1,346,401.20

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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.