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Finding the Third Proportional to 386,518.50 and 577,999.50

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Solution

The third proportional to 386,518.50 and 577,999.50 is: 864,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,518.50 : 577,999.50 = 577,999.50 : x
  2. Step 2: Convert to fraction form
    386,518.50/577,999.50 = 577,999.50/x
  3. Step 3: Cross multiply
    386,518.50x = 577,999.50 × 577,999.50
  4. Step 4: Simplify right side
    386,518.50x = 334,083,422,000.25
  5. Step 5: Solve for x
    x = 334,083,422,000.25/386,518.50
  6. Step 6: Final answer
    x = 864,340.06

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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.