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Finding the Third Proportional to 374,659.17 and 820,621.13

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Solution

The third proportional to 374,659.17 and 820,621.13 is: 1,797,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,659.17 : 820,621.13 = 820,621.13 : x
  2. Step 2: Convert to fraction form
    374,659.17/820,621.13 = 820,621.13/x
  3. Step 3: Cross multiply
    374,659.17x = 820,621.13 × 820,621.13
  4. Step 4: Simplify right side
    374,659.17x = 673,419,030,796.27
  5. Step 5: Solve for x
    x = 673,419,030,796.27/374,659.17
  6. Step 6: Final answer
    x = 1,797,417.71

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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.