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Finding the Third Proportional to 143,440 and 293,216

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Solution

The third proportional to 143,440 and 293,216 is: 599,383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,440 : 293,216 = 293,216 : x
  2. Step 2: Convert to fraction form
    143,440/293,216 = 293,216/x
  3. Step 3: Cross multiply
    143,440x = 293,216 × 293,216
  4. Step 4: Simplify right side
    143,440x = 85,975,622,656
  5. Step 5: Solve for x
    x = 85,975,622,656/143,440
  6. Step 6: Final answer
    x = 599,383.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.