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Finding the Third Proportional to 225,138 and 342,348

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Solution

The third proportional to 225,138 and 342,348 is: 520,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,138 : 342,348 = 342,348 : x
  2. Step 2: Convert to fraction form
    225,138/342,348 = 342,348/x
  3. Step 3: Cross multiply
    225,138x = 342,348 × 342,348
  4. Step 4: Simplify right side
    225,138x = 117,202,153,104
  5. Step 5: Solve for x
    x = 117,202,153,104/225,138
  6. Step 6: Final answer
    x = 520,579.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.