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Finding the Third Proportional to 424,503 and 630,974

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Solution

The third proportional to 424,503 and 630,974 is: 937,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,503 : 630,974 = 630,974 : x
  2. Step 2: Convert to fraction form
    424,503/630,974 = 630,974/x
  3. Step 3: Cross multiply
    424,503x = 630,974 × 630,974
  4. Step 4: Simplify right side
    424,503x = 398,128,188,676
  5. Step 5: Solve for x
    x = 398,128,188,676/424,503
  6. Step 6: Final answer
    x = 937,868.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.