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Finding the Third Proportional to 362,208 and 786,694.50

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Solution

The third proportional to 362,208 and 786,694.50 is: 1,708,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,208 : 786,694.50 = 786,694.50 : x
  2. Step 2: Convert to fraction form
    362,208/786,694.50 = 786,694.50/x
  3. Step 3: Cross multiply
    362,208x = 786,694.50 × 786,694.50
  4. Step 4: Simplify right side
    362,208x = 618,888,236,330.25
  5. Step 5: Solve for x
    x = 618,888,236,330.25/362,208
  6. Step 6: Final answer
    x = 1,708,654.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.