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Finding the Third Proportional to 212,947 and 469,102

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Solution

The third proportional to 212,947 and 469,102 is: 1,033,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,947 : 469,102 = 469,102 : x
  2. Step 2: Convert to fraction form
    212,947/469,102 = 469,102/x
  3. Step 3: Cross multiply
    212,947x = 469,102 × 469,102
  4. Step 4: Simplify right side
    212,947x = 220,056,686,404
  5. Step 5: Solve for x
    x = 220,056,686,404/212,947
  6. Step 6: Final answer
    x = 1,033,387.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.