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Finding the Third Proportional to 310,966.59 and 678,213

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Solution

The third proportional to 310,966.59 and 678,213 is: 1,479,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,966.59 : 678,213 = 678,213 : x
  2. Step 2: Convert to fraction form
    310,966.59/678,213 = 678,213/x
  3. Step 3: Cross multiply
    310,966.59x = 678,213 × 678,213
  4. Step 4: Simplify right side
    310,966.59x = 459,972,873,369
  5. Step 5: Solve for x
    x = 459,972,873,369/310,966.59
  6. Step 6: Final answer
    x = 1,479,171.34

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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.