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Finding the Third Proportional to 284,265 and 618,642

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Solution

The third proportional to 284,265 and 618,642 is: 1,346,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,265 : 618,642 = 618,642 : x
  2. Step 2: Convert to fraction form
    284,265/618,642 = 618,642/x
  3. Step 3: Cross multiply
    284,265x = 618,642 × 618,642
  4. Step 4: Simplify right side
    284,265x = 382,717,924,164
  5. Step 5: Solve for x
    x = 382,717,924,164/284,265
  6. Step 6: Final answer
    x = 1,346,342.05

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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.