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Finding the Third Proportional to 143,455 and 293,246

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Solution

The third proportional to 143,455 and 293,246 is: 599,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,455 : 293,246 = 293,246 : x
  2. Step 2: Convert to fraction form
    143,455/293,246 = 293,246/x
  3. Step 3: Cross multiply
    143,455x = 293,246 × 293,246
  4. Step 4: Simplify right side
    143,455x = 85,993,216,516
  5. Step 5: Solve for x
    x = 85,993,216,516/143,455
  6. Step 6: Final answer
    x = 599,443.84

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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.