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Finding the Third Proportional to 172,017 and 377,946

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Solution

The third proportional to 172,017 and 377,946 is: 830,401.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,017 : 377,946 = 377,946 : x
  2. Step 2: Convert to fraction form
    172,017/377,946 = 377,946/x
  3. Step 3: Cross multiply
    172,017x = 377,946 × 377,946
  4. Step 4: Simplify right side
    172,017x = 142,843,178,916
  5. Step 5: Solve for x
    x = 142,843,178,916/172,017
  6. Step 6: Final answer
    x = 830,401.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.