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Finding the Third Proportional to 314,178.75 and 678,165.75

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Solution

The third proportional to 314,178.75 and 678,165.75 is: 1,463,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,178.75 : 678,165.75 = 678,165.75 : x
  2. Step 2: Convert to fraction form
    314,178.75/678,165.75 = 678,165.75/x
  3. Step 3: Cross multiply
    314,178.75x = 678,165.75 × 678,165.75
  4. Step 4: Simplify right side
    314,178.75x = 459,908,784,473.06
  5. Step 5: Solve for x
    x = 459,908,784,473.06/314,178.75
  6. Step 6: Final answer
    x = 1,463,844.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.