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Finding the Third Proportional to 156,435 and 342,273

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Solution

The third proportional to 156,435 and 342,273 is: 748,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,435 : 342,273 = 342,273 : x
  2. Step 2: Convert to fraction form
    156,435/342,273 = 342,273/x
  3. Step 3: Cross multiply
    156,435x = 342,273 × 342,273
  4. Step 4: Simplify right side
    156,435x = 117,150,806,529
  5. Step 5: Solve for x
    x = 117,150,806,529/156,435
  6. Step 6: Final answer
    x = 748,878.49

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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.