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Finding the Third Proportional to 157,640 and 345,900

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Solution

The third proportional to 157,640 and 345,900 is: 758,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,640 : 345,900 = 345,900 : x
  2. Step 2: Convert to fraction form
    157,640/345,900 = 345,900/x
  3. Step 3: Cross multiply
    157,640x = 345,900 × 345,900
  4. Step 4: Simplify right side
    157,640x = 119,646,810,000
  5. Step 5: Solve for x
    x = 119,646,810,000/157,640
  6. Step 6: Final answer
    x = 758,987.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.