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Finding the Third Proportional to 309,827 and 678,622

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Solution

The third proportional to 309,827 and 678,622 is: 1,486,403.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,827 : 678,622 = 678,622 : x
  2. Step 2: Convert to fraction form
    309,827/678,622 = 678,622/x
  3. Step 3: Cross multiply
    309,827x = 678,622 × 678,622
  4. Step 4: Simplify right side
    309,827x = 460,527,818,884
  5. Step 5: Solve for x
    x = 460,527,818,884/309,827
  6. Step 6: Final answer
    x = 1,486,403.12

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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.