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Finding the Third Proportional to 266,490 and 543,684.66

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Solution

The third proportional to 266,490 and 543,684.66 is: 1,109,208.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,490 : 543,684.66 = 543,684.66 : x
  2. Step 2: Convert to fraction form
    266,490/543,684.66 = 543,684.66/x
  3. Step 3: Cross multiply
    266,490x = 543,684.66 × 543,684.66
  4. Step 4: Simplify right side
    266,490x = 295,593,005,441.68
  5. Step 5: Solve for x
    x = 295,593,005,441.68/266,490
  6. Step 6: Final answer
    x = 1,109,208.62

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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.