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Finding the Third Proportional to 354,421.13 and 777,738.38

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Solution

The third proportional to 354,421.13 and 777,738.38 is: 1,706,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,421.13 : 777,738.38 = 777,738.38 : x
  2. Step 2: Convert to fraction form
    354,421.13/777,738.38 = 777,738.38/x
  3. Step 3: Cross multiply
    354,421.13x = 777,738.38 × 777,738.38
  4. Step 4: Simplify right side
    354,421.13x = 604,876,979,947.64
  5. Step 5: Solve for x
    x = 604,876,979,947.64/354,421.13
  6. Step 6: Final answer
    x = 1,706,661.76

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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.