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Finding the Third Proportional to 157,724 and 345,983

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Solution

The third proportional to 157,724 and 345,983 is: 758,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,724 : 345,983 = 345,983 : x
  2. Step 2: Convert to fraction form
    157,724/345,983 = 345,983/x
  3. Step 3: Cross multiply
    157,724x = 345,983 × 345,983
  4. Step 4: Simplify right side
    157,724x = 119,704,236,289
  5. Step 5: Solve for x
    x = 119,704,236,289/157,724
  6. Step 6: Final answer
    x = 758,947.51

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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.