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Finding the Third Proportional to 156,434 and 341,551

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Solution

The third proportional to 156,434 and 341,551 is: 745,727.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,434 : 341,551 = 341,551 : x
  2. Step 2: Convert to fraction form
    156,434/341,551 = 341,551/x
  3. Step 3: Cross multiply
    156,434x = 341,551 × 341,551
  4. Step 4: Simplify right side
    156,434x = 116,657,085,601
  5. Step 5: Solve for x
    x = 116,657,085,601/156,434
  6. Step 6: Final answer
    x = 745,727.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.