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Finding the Third Proportional to 312,666 and 475,317

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Solution

The third proportional to 312,666 and 475,317 is: 722,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,666 : 475,317 = 475,317 : x
  2. Step 2: Convert to fraction form
    312,666/475,317 = 475,317/x
  3. Step 3: Cross multiply
    312,666x = 475,317 × 475,317
  4. Step 4: Simplify right side
    312,666x = 225,926,250,489
  5. Step 5: Solve for x
    x = 225,926,250,489/312,666
  6. Step 6: Final answer
    x = 722,580.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.