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Finding the Third Proportional to 157,128 and 341,578

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Solution

The third proportional to 157,128 and 341,578 is: 742,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,128 : 341,578 = 341,578 : x
  2. Step 2: Convert to fraction form
    157,128/341,578 = 341,578/x
  3. Step 3: Cross multiply
    157,128x = 341,578 × 341,578
  4. Step 4: Simplify right side
    157,128x = 116,675,530,084
  5. Step 5: Solve for x
    x = 116,675,530,084/157,128
  6. Step 6: Final answer
    x = 742,550.85

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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.