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Finding the Third Proportional to 155,889 and 336,687

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Solution

The third proportional to 155,889 and 336,687 is: 727,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,889 : 336,687 = 336,687 : x
  2. Step 2: Convert to fraction form
    155,889/336,687 = 336,687/x
  3. Step 3: Cross multiply
    155,889x = 336,687 × 336,687
  4. Step 4: Simplify right side
    155,889x = 113,358,135,969
  5. Step 5: Solve for x
    x = 113,358,135,969/155,889
  6. Step 6: Final answer
    x = 727,172.13

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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.