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Finding the Third Proportional to 172,840 and 232,280

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Solution

The third proportional to 172,840 and 232,280 is: 312,161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,840 : 232,280 = 232,280 : x
  2. Step 2: Convert to fraction form
    172,840/232,280 = 232,280/x
  3. Step 3: Cross multiply
    172,840x = 232,280 × 232,280
  4. Step 4: Simplify right side
    172,840x = 53,953,998,400
  5. Step 5: Solve for x
    x = 53,953,998,400/172,840
  6. Step 6: Final answer
    x = 312,161.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.