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Finding the Third Proportional to 172,155 and 369,214

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Solution

The third proportional to 172,155 and 369,214 is: 791,838.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,155 : 369,214 = 369,214 : x
  2. Step 2: Convert to fraction form
    172,155/369,214 = 369,214/x
  3. Step 3: Cross multiply
    172,155x = 369,214 × 369,214
  4. Step 4: Simplify right side
    172,155x = 136,318,977,796
  5. Step 5: Solve for x
    x = 136,318,977,796/172,155
  6. Step 6: Final answer
    x = 791,838.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.