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Finding the Third Proportional to 157,617 and 342,026

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Solution

The third proportional to 157,617 and 342,026 is: 742,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,617 : 342,026 = 342,026 : x
  2. Step 2: Convert to fraction form
    157,617/342,026 = 342,026/x
  3. Step 3: Cross multiply
    157,617x = 342,026 × 342,026
  4. Step 4: Simplify right side
    157,617x = 116,981,784,676
  5. Step 5: Solve for x
    x = 116,981,784,676/157,617
  6. Step 6: Final answer
    x = 742,190.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.