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Finding the Third Proportional to 290,516 and 424,626

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Solution

The third proportional to 290,516 and 424,626 is: 620,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,516 : 424,626 = 424,626 : x
  2. Step 2: Convert to fraction form
    290,516/424,626 = 424,626/x
  3. Step 3: Cross multiply
    290,516x = 424,626 × 424,626
  4. Step 4: Simplify right side
    290,516x = 180,307,239,876
  5. Step 5: Solve for x
    x = 180,307,239,876/290,516
  6. Step 6: Final answer
    x = 620,644.78

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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.