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Finding the Third Proportional to 284,118 and 431,361

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Solution

The third proportional to 284,118 and 431,361 is: 654,912.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,118 : 431,361 = 431,361 : x
  2. Step 2: Convert to fraction form
    284,118/431,361 = 431,361/x
  3. Step 3: Cross multiply
    284,118x = 431,361 × 431,361
  4. Step 4: Simplify right side
    284,118x = 186,072,312,321
  5. Step 5: Solve for x
    x = 186,072,312,321/284,118
  6. Step 6: Final answer
    x = 654,912.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.