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Finding the Third Proportional to 157,668 and 239,778

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Solution

The third proportional to 157,668 and 239,778 is: 364,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,668 : 239,778 = 239,778 : x
  2. Step 2: Convert to fraction form
    157,668/239,778 = 239,778/x
  3. Step 3: Cross multiply
    157,668x = 239,778 × 239,778
  4. Step 4: Simplify right side
    157,668x = 57,493,489,284
  5. Step 5: Solve for x
    x = 57,493,489,284/157,668
  6. Step 6: Final answer
    x = 364,649.07

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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.