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Finding the Third Proportional to 156,302 and 342,414

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Solution

The third proportional to 156,302 and 342,414 is: 750,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,302 : 342,414 = 342,414 : x
  2. Step 2: Convert to fraction form
    156,302/342,414 = 342,414/x
  3. Step 3: Cross multiply
    156,302x = 342,414 × 342,414
  4. Step 4: Simplify right side
    156,302x = 117,247,347,396
  5. Step 5: Solve for x
    x = 117,247,347,396/156,302
  6. Step 6: Final answer
    x = 750,133.38

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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.