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Finding the Third Proportional to 372,940 and 818,464

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Solution

The third proportional to 372,940 and 818,464 is: 1,796,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,940 : 818,464 = 818,464 : x
  2. Step 2: Convert to fraction form
    372,940/818,464 = 818,464/x
  3. Step 3: Cross multiply
    372,940x = 818,464 × 818,464
  4. Step 4: Simplify right side
    372,940x = 669,883,319,296
  5. Step 5: Solve for x
    x = 669,883,319,296/372,940
  6. Step 6: Final answer
    x = 1,796,222.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.