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Finding the Third Proportional to 155,310 and 336,009

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Solution

The third proportional to 155,310 and 336,009 is: 726,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,310 : 336,009 = 336,009 : x
  2. Step 2: Convert to fraction form
    155,310/336,009 = 336,009/x
  3. Step 3: Cross multiply
    155,310x = 336,009 × 336,009
  4. Step 4: Simplify right side
    155,310x = 112,902,048,081
  5. Step 5: Solve for x
    x = 112,902,048,081/155,310
  6. Step 6: Final answer
    x = 726,946.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.