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Finding the Third Proportional to 157,326 and 340,890

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Solution

The third proportional to 157,326 and 340,890 is: 738,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,326 : 340,890 = 340,890 : x
  2. Step 2: Convert to fraction form
    157,326/340,890 = 340,890/x
  3. Step 3: Cross multiply
    157,326x = 340,890 × 340,890
  4. Step 4: Simplify right side
    157,326x = 116,205,992,100
  5. Step 5: Solve for x
    x = 116,205,992,100/157,326
  6. Step 6: Final answer
    x = 738,631.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.