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Finding the Third Proportional to 156,376 and 342,368

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Solution

The third proportional to 156,376 and 342,368 is: 749,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,376 : 342,368 = 342,368 : x
  2. Step 2: Convert to fraction form
    156,376/342,368 = 342,368/x
  3. Step 3: Cross multiply
    156,376x = 342,368 × 342,368
  4. Step 4: Simplify right side
    156,376x = 117,215,847,424
  5. Step 5: Solve for x
    x = 117,215,847,424/156,376
  6. Step 6: Final answer
    x = 749,576.96

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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.