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Finding the Third Proportional to 120,438 and 262,325.25

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Solution

The third proportional to 120,438 and 262,325.25 is: 571,368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,438 : 262,325.25 = 262,325.25 : x
  2. Step 2: Convert to fraction form
    120,438/262,325.25 = 262,325.25/x
  3. Step 3: Cross multiply
    120,438x = 262,325.25 × 262,325.25
  4. Step 4: Simplify right side
    120,438x = 68,814,536,787.56
  5. Step 5: Solve for x
    x = 68,814,536,787.56/120,438
  6. Step 6: Final answer
    x = 571,368.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.