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Finding the Third Proportional to 172,644 and 376,670

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Solution

The third proportional to 172,644 and 376,670 is: 821,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,644 : 376,670 = 376,670 : x
  2. Step 2: Convert to fraction form
    172,644/376,670 = 376,670/x
  3. Step 3: Cross multiply
    172,644x = 376,670 × 376,670
  4. Step 4: Simplify right side
    172,644x = 141,880,288,900
  5. Step 5: Solve for x
    x = 141,880,288,900/172,644
  6. Step 6: Final answer
    x = 821,808.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.