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Finding the Third Proportional to 403,105 and 609,868

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Solution

The third proportional to 403,105 and 609,868 is: 922,685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,105 : 609,868 = 609,868 : x
  2. Step 2: Convert to fraction form
    403,105/609,868 = 609,868/x
  3. Step 3: Cross multiply
    403,105x = 609,868 × 609,868
  4. Step 4: Simplify right side
    403,105x = 371,938,977,424
  5. Step 5: Solve for x
    x = 371,938,977,424/403,105
  6. Step 6: Final answer
    x = 922,685.10

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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.