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Finding the Third Proportional to 403,078 and 609,153

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Solution

The third proportional to 403,078 and 609,153 is: 920,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,078 : 609,153 = 609,153 : x
  2. Step 2: Convert to fraction form
    403,078/609,153 = 609,153/x
  3. Step 3: Cross multiply
    403,078x = 609,153 × 609,153
  4. Step 4: Simplify right side
    403,078x = 371,067,377,409
  5. Step 5: Solve for x
    x = 371,067,377,409/403,078
  6. Step 6: Final answer
    x = 920,584.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.