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Finding the Third Proportional to 345,012 and 475,089

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Solution

The third proportional to 345,012 and 475,089 is: 654,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,012 : 475,089 = 475,089 : x
  2. Step 2: Convert to fraction form
    345,012/475,089 = 475,089/x
  3. Step 3: Cross multiply
    345,012x = 475,089 × 475,089
  4. Step 4: Simplify right side
    345,012x = 225,709,557,921
  5. Step 5: Solve for x
    x = 225,709,557,921/345,012
  6. Step 6: Final answer
    x = 654,207.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.