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Finding the Third Proportional to 213,642 and 494,569

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Solution

The third proportional to 213,642 and 494,569 is: 1,144,898.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,642 : 494,569 = 494,569 : x
  2. Step 2: Convert to fraction form
    213,642/494,569 = 494,569/x
  3. Step 3: Cross multiply
    213,642x = 494,569 × 494,569
  4. Step 4: Simplify right side
    213,642x = 244,598,495,761
  5. Step 5: Solve for x
    x = 244,598,495,761/213,642
  6. Step 6: Final answer
    x = 1,144,898.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.