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Finding the Third Proportional to 422,607 and 620,977

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Solution

The third proportional to 422,607 and 620,977 is: 912,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,607 : 620,977 = 620,977 : x
  2. Step 2: Convert to fraction form
    422,607/620,977 = 620,977/x
  3. Step 3: Cross multiply
    422,607x = 620,977 × 620,977
  4. Step 4: Simplify right side
    422,607x = 385,612,434,529
  5. Step 5: Solve for x
    x = 385,612,434,529/422,607
  6. Step 6: Final answer
    x = 912,461.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.