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Finding the Third Proportional to 615,822.75 and 921,228.19

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Solution

The third proportional to 615,822.75 and 921,228.19 is: 1,378,093.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,822.75 : 921,228.19 = 921,228.19 : x
  2. Step 2: Convert to fraction form
    615,822.75/921,228.19 = 921,228.19/x
  3. Step 3: Cross multiply
    615,822.75x = 921,228.19 × 921,228.19
  4. Step 4: Simplify right side
    615,822.75x = 848,661,373,444.54
  5. Step 5: Solve for x
    x = 848,661,373,444.54/615,822.75
  6. Step 6: Final answer
    x = 1,378,093.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.