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Finding the Third Proportional to 380,784.75 and 810,471

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Solution

The third proportional to 380,784.75 and 810,471 is: 1,725,025.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,784.75 : 810,471 = 810,471 : x
  2. Step 2: Convert to fraction form
    380,784.75/810,471 = 810,471/x
  3. Step 3: Cross multiply
    380,784.75x = 810,471 × 810,471
  4. Step 4: Simplify right side
    380,784.75x = 656,863,241,841
  5. Step 5: Solve for x
    x = 656,863,241,841/380,784.75
  6. Step 6: Final answer
    x = 1,725,025.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.