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Finding the Third Proportional to 422,604 and 620,973

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Solution

The third proportional to 422,604 and 620,973 is: 912,455.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,604 : 620,973 = 620,973 : x
  2. Step 2: Convert to fraction form
    422,604/620,973 = 620,973/x
  3. Step 3: Cross multiply
    422,604x = 620,973 × 620,973
  4. Step 4: Simplify right side
    422,604x = 385,607,466,729
  5. Step 5: Solve for x
    x = 385,607,466,729/422,604
  6. Step 6: Final answer
    x = 912,455.79

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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.