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Finding the Third Proportional to 156,420 and 341,523

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Solution

The third proportional to 156,420 and 341,523 is: 745,671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,420 : 341,523 = 341,523 : x
  2. Step 2: Convert to fraction form
    156,420/341,523 = 341,523/x
  3. Step 3: Cross multiply
    156,420x = 341,523 × 341,523
  4. Step 4: Simplify right side
    156,420x = 116,637,959,529
  5. Step 5: Solve for x
    x = 116,637,959,529/156,420
  6. Step 6: Final answer
    x = 745,671.65

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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.