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Finding the Third Proportional to 157,651 and 345,961

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Solution

The third proportional to 157,651 and 345,961 is: 759,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,651 : 345,961 = 345,961 : x
  2. Step 2: Convert to fraction form
    157,651/345,961 = 345,961/x
  3. Step 3: Cross multiply
    157,651x = 345,961 × 345,961
  4. Step 4: Simplify right side
    157,651x = 119,689,013,521
  5. Step 5: Solve for x
    x = 119,689,013,521/157,651
  6. Step 6: Final answer
    x = 759,202.37

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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.