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Finding the Third Proportional to 384,809 and 579,521.75

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Solution

The third proportional to 384,809 and 579,521.75 is: 872,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,809 : 579,521.75 = 579,521.75 : x
  2. Step 2: Convert to fraction form
    384,809/579,521.75 = 579,521.75/x
  3. Step 3: Cross multiply
    384,809x = 579,521.75 × 579,521.75
  4. Step 4: Simplify right side
    384,809x = 335,845,458,723.06
  5. Step 5: Solve for x
    x = 335,845,458,723.06/384,809
  6. Step 6: Final answer
    x = 872,758.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.