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Finding the Third Proportional to 378,726 and 828,708

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Solution

The third proportional to 378,726 and 828,708 is: 1,813,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,726 : 828,708 = 828,708 : x
  2. Step 2: Convert to fraction form
    378,726/828,708 = 828,708/x
  3. Step 3: Cross multiply
    378,726x = 828,708 × 828,708
  4. Step 4: Simplify right side
    378,726x = 686,756,949,264
  5. Step 5: Solve for x
    x = 686,756,949,264/378,726
  6. Step 6: Final answer
    x = 1,813,334.57

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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.