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Finding the Third Proportional to 172,087 and 369,085

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Solution

The third proportional to 172,087 and 369,085 is: 791,598.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,087 : 369,085 = 369,085 : x
  2. Step 2: Convert to fraction form
    172,087/369,085 = 369,085/x
  3. Step 3: Cross multiply
    172,087x = 369,085 × 369,085
  4. Step 4: Simplify right side
    172,087x = 136,223,737,225
  5. Step 5: Solve for x
    x = 136,223,737,225/172,087
  6. Step 6: Final answer
    x = 791,598.07

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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.