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Finding the Third Proportional to 311,131.13 and 678,574.13

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Solution

The third proportional to 311,131.13 and 678,574.13 is: 1,479,963.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,131.13 : 678,574.13 = 678,574.13 : x
  2. Step 2: Convert to fraction form
    311,131.13/678,574.13 = 678,574.13/x
  3. Step 3: Cross multiply
    311,131.13x = 678,574.13 × 678,574.13
  4. Step 4: Simplify right side
    311,131.13x = 460,462,843,119.52
  5. Step 5: Solve for x
    x = 460,462,843,119.52/311,131.13
  6. Step 6: Final answer
    x = 1,479,963.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.