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Finding the Third Proportional to 284,157 and 621,828

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Solution

The third proportional to 284,157 and 621,828 is: 1,360,762.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,157 : 621,828 = 621,828 : x
  2. Step 2: Convert to fraction form
    284,157/621,828 = 621,828/x
  3. Step 3: Cross multiply
    284,157x = 621,828 × 621,828
  4. Step 4: Simplify right side
    284,157x = 386,670,061,584
  5. Step 5: Solve for x
    x = 386,670,061,584/284,157
  6. Step 6: Final answer
    x = 1,360,762.05

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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.