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Finding the Third Proportional to 157,704 and 340,680

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Solution

The third proportional to 157,704 and 340,680 is: 735,953.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,704 : 340,680 = 340,680 : x
  2. Step 2: Convert to fraction form
    157,704/340,680 = 340,680/x
  3. Step 3: Cross multiply
    157,704x = 340,680 × 340,680
  4. Step 4: Simplify right side
    157,704x = 116,062,862,400
  5. Step 5: Solve for x
    x = 116,062,862,400/157,704
  6. Step 6: Final answer
    x = 735,953.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.