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Finding the Third Proportional to 289,675 and 424,142

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Solution

The third proportional to 289,675 and 424,142 is: 621,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,675 : 424,142 = 424,142 : x
  2. Step 2: Convert to fraction form
    289,675/424,142 = 424,142/x
  3. Step 3: Cross multiply
    289,675x = 424,142 × 424,142
  4. Step 4: Simplify right side
    289,675x = 179,896,436,164
  5. Step 5: Solve for x
    x = 179,896,436,164/289,675
  6. Step 6: Final answer
    x = 621,028.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.