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Finding the Third Proportional to 214,428.94 and 315,406.31

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Solution

The third proportional to 214,428.94 and 315,406.31 is: 463,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,428.94 : 315,406.31 = 315,406.31 : x
  2. Step 2: Convert to fraction form
    214,428.94/315,406.31 = 315,406.31/x
  3. Step 3: Cross multiply
    214,428.94x = 315,406.31 × 315,406.31
  4. Step 4: Simplify right side
    214,428.94x = 99,481,141,964.85
  5. Step 5: Solve for x
    x = 99,481,141,964.85/214,428.94
  6. Step 6: Final answer
    x = 463,935.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.