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Finding the Third Proportional to 204,475 and 310,391

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Solution

The third proportional to 204,475 and 310,391 is: 471,170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,475 : 310,391 = 310,391 : x
  2. Step 2: Convert to fraction form
    204,475/310,391 = 310,391/x
  3. Step 3: Cross multiply
    204,475x = 310,391 × 310,391
  4. Step 4: Simplify right side
    204,475x = 96,342,572,881
  5. Step 5: Solve for x
    x = 96,342,572,881/204,475
  6. Step 6: Final answer
    x = 471,170.43

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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.