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Finding the Third Proportional to 291,222 and 447,006

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Solution

The third proportional to 291,222 and 447,006 is: 686,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,222 : 447,006 = 447,006 : x
  2. Step 2: Convert to fraction form
    291,222/447,006 = 447,006/x
  3. Step 3: Cross multiply
    291,222x = 447,006 × 447,006
  4. Step 4: Simplify right side
    291,222x = 199,814,364,036
  5. Step 5: Solve for x
    x = 199,814,364,036/291,222
  6. Step 6: Final answer
    x = 686,123.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.