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Finding the Third Proportional to 155,138 and 240,195

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Solution

The third proportional to 155,138 and 240,195 is: 371,885.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,138 : 240,195 = 240,195 : x
  2. Step 2: Convert to fraction form
    155,138/240,195 = 240,195/x
  3. Step 3: Cross multiply
    155,138x = 240,195 × 240,195
  4. Step 4: Simplify right side
    155,138x = 57,693,638,025
  5. Step 5: Solve for x
    x = 57,693,638,025/155,138
  6. Step 6: Final answer
    x = 371,885.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.