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Finding the Third Proportional to 220,870 and 294,273

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Solution

The third proportional to 220,870 and 294,273 is: 392,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,870 : 294,273 = 294,273 : x
  2. Step 2: Convert to fraction form
    220,870/294,273 = 294,273/x
  3. Step 3: Cross multiply
    220,870x = 294,273 × 294,273
  4. Step 4: Simplify right side
    220,870x = 86,596,598,529
  5. Step 5: Solve for x
    x = 86,596,598,529/220,870
  6. Step 6: Final answer
    x = 392,070.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.