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Finding the Third Proportional to 155,540 and 341,213

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Solution

The third proportional to 155,540 and 341,213 is: 748,529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,540 : 341,213 = 341,213 : x
  2. Step 2: Convert to fraction form
    155,540/341,213 = 341,213/x
  3. Step 3: Cross multiply
    155,540x = 341,213 × 341,213
  4. Step 4: Simplify right side
    155,540x = 116,426,311,369
  5. Step 5: Solve for x
    x = 116,426,311,369/155,540
  6. Step 6: Final answer
    x = 748,529.71

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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.