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Finding the Third Proportional to 157,300 and 336,845

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Solution

The third proportional to 157,300 and 336,845 is: 721,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,300 : 336,845 = 336,845 : x
  2. Step 2: Convert to fraction form
    157,300/336,845 = 336,845/x
  3. Step 3: Cross multiply
    157,300x = 336,845 × 336,845
  4. Step 4: Simplify right side
    157,300x = 113,464,554,025
  5. Step 5: Solve for x
    x = 113,464,554,025/157,300
  6. Step 6: Final answer
    x = 721,325.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.