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Finding the Third Proportional to 156,216 and 236,515

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Solution

The third proportional to 156,216 and 236,515 is: 358,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,216 : 236,515 = 236,515 : x
  2. Step 2: Convert to fraction form
    156,216/236,515 = 236,515/x
  3. Step 3: Cross multiply
    156,216x = 236,515 × 236,515
  4. Step 4: Simplify right side
    156,216x = 55,939,345,225
  5. Step 5: Solve for x
    x = 55,939,345,225/156,216
  6. Step 6: Final answer
    x = 358,089.73

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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.