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Finding the Third Proportional to 386,508.38 and 577,985.63

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Solution

The third proportional to 386,508.38 and 577,985.63 is: 864,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,508.38 : 577,985.63 = 577,985.63 : x
  2. Step 2: Convert to fraction form
    386,508.38/577,985.63 = 577,985.63/x
  3. Step 3: Cross multiply
    386,508.38x = 577,985.63 × 577,985.63
  4. Step 4: Simplify right side
    386,508.38x = 334,067,382,706.64
  5. Step 5: Solve for x
    x = 334,067,382,706.64/386,508.38
  6. Step 6: Final answer
    x = 864,321.20

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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.