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Finding the Third Proportional to 172,551 and 369,091

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Solution

The third proportional to 172,551 and 369,091 is: 789,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,551 : 369,091 = 369,091 : x
  2. Step 2: Convert to fraction form
    172,551/369,091 = 369,091/x
  3. Step 3: Cross multiply
    172,551x = 369,091 × 369,091
  4. Step 4: Simplify right side
    172,551x = 136,228,166,281
  5. Step 5: Solve for x
    x = 136,228,166,281/172,551
  6. Step 6: Final answer
    x = 789,495.08

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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.