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Finding the Third Proportional to 143,983.20 and 314,210.39

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Solution

The third proportional to 143,983.20 and 314,210.39 is: 685,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,983.20 : 314,210.39 = 314,210.39 : x
  2. Step 2: Convert to fraction form
    143,983.20/314,210.39 = 314,210.39/x
  3. Step 3: Cross multiply
    143,983.20x = 314,210.39 × 314,210.39
  4. Step 4: Simplify right side
    143,983.20x = 98,728,169,576.72
  5. Step 5: Solve for x
    x = 98,728,169,576.72/143,983.20
  6. Step 6: Final answer
    x = 685,692.31

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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.