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Finding the Third Proportional to 310,986 and 678,246.75

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Solution

The third proportional to 310,986 and 678,246.75 is: 1,479,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,986 : 678,246.75 = 678,246.75 : x
  2. Step 2: Convert to fraction form
    310,986/678,246.75 = 678,246.75/x
  3. Step 3: Cross multiply
    310,986x = 678,246.75 × 678,246.75
  4. Step 4: Simplify right side
    310,986x = 460,018,653,885.56
  5. Step 5: Solve for x
    x = 460,018,653,885.56/310,986
  6. Step 6: Final answer
    x = 1,479,226.25

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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.