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Finding the Third Proportional to 284,055 and 621,555

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Solution

The third proportional to 284,055 and 621,555 is: 1,360,055.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,055 : 621,555 = 621,555 : x
  2. Step 2: Convert to fraction form
    284,055/621,555 = 621,555/x
  3. Step 3: Cross multiply
    284,055x = 621,555 × 621,555
  4. Step 4: Simplify right side
    284,055x = 386,330,618,025
  5. Step 5: Solve for x
    x = 386,330,618,025/284,055
  6. Step 6: Final answer
    x = 1,360,055.69

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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.