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Finding the Third Proportional to 311,253 and 679,853.75

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Solution

The third proportional to 311,253 and 679,853.75 is: 1,484,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,253 : 679,853.75 = 679,853.75 : x
  2. Step 2: Convert to fraction form
    311,253/679,853.75 = 679,853.75/x
  3. Step 3: Cross multiply
    311,253x = 679,853.75 × 679,853.75
  4. Step 4: Simplify right side
    311,253x = 462,201,121,389.06
  5. Step 5: Solve for x
    x = 462,201,121,389.06/311,253
  6. Step 6: Final answer
    x = 1,484,969.21

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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.