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Finding the Third Proportional to 173,387 and 378,526

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Solution

The third proportional to 173,387 and 378,526 is: 826,370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,387 : 378,526 = 378,526 : x
  2. Step 2: Convert to fraction form
    173,387/378,526 = 378,526/x
  3. Step 3: Cross multiply
    173,387x = 378,526 × 378,526
  4. Step 4: Simplify right side
    173,387x = 143,281,932,676
  5. Step 5: Solve for x
    x = 143,281,932,676/173,387
  6. Step 6: Final answer
    x = 826,370.68

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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.