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Finding the Third Proportional to 156,619 and 237,115

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Solution

The third proportional to 156,619 and 237,115 is: 358,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,619 : 237,115 = 237,115 : x
  2. Step 2: Convert to fraction form
    156,619/237,115 = 237,115/x
  3. Step 3: Cross multiply
    156,619x = 237,115 × 237,115
  4. Step 4: Simplify right side
    156,619x = 56,223,523,225
  5. Step 5: Solve for x
    x = 56,223,523,225/156,619
  6. Step 6: Final answer
    x = 358,982.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.