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Finding the Third Proportional to 386,494.88 and 577,965.38

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Solution

The third proportional to 386,494.88 and 577,965.38 is: 864,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,494.88 : 577,965.38 = 577,965.38 : x
  2. Step 2: Convert to fraction form
    386,494.88/577,965.38 = 577,965.38/x
  3. Step 3: Cross multiply
    386,494.88x = 577,965.38 × 577,965.38
  4. Step 4: Simplify right side
    386,494.88x = 334,043,974,698.89
  5. Step 5: Solve for x
    x = 334,043,974,698.89/386,494.88
  6. Step 6: Final answer
    x = 864,290.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.