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Finding the Third Proportional to 314,149.17 and 678,121.64

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Solution

The third proportional to 314,149.17 and 678,121.64 is: 1,463,791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,149.17 : 678,121.64 = 678,121.64 : x
  2. Step 2: Convert to fraction form
    314,149.17/678,121.64 = 678,121.64/x
  3. Step 3: Cross multiply
    314,149.17x = 678,121.64 × 678,121.64
  4. Step 4: Simplify right side
    314,149.17x = 459,848,955,510.58
  5. Step 5: Solve for x
    x = 459,848,955,510.58/314,149.17
  6. Step 6: Final answer
    x = 1,463,791.74

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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.