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Finding the Third Proportional to 284,080 and 621,616

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Solution

The third proportional to 284,080 and 621,616 is: 1,360,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,080 : 621,616 = 621,616 : x
  2. Step 2: Convert to fraction form
    284,080/621,616 = 621,616/x
  3. Step 3: Cross multiply
    284,080x = 621,616 × 621,616
  4. Step 4: Simplify right side
    284,080x = 386,406,451,456
  5. Step 5: Solve for x
    x = 386,406,451,456/284,080
  6. Step 6: Final answer
    x = 1,360,202.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.