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Finding the Third Proportional to 140,216.06 and 305,810.44

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Solution

The third proportional to 140,216.06 and 305,810.44 is: 666,970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,216.06 : 305,810.44 = 305,810.44 : x
  2. Step 2: Convert to fraction form
    140,216.06/305,810.44 = 305,810.44/x
  3. Step 3: Cross multiply
    140,216.06x = 305,810.44 × 305,810.44
  4. Step 4: Simplify right side
    140,216.06x = 93,520,023,683.94
  5. Step 5: Solve for x
    x = 93,520,023,683.94/140,216.06
  6. Step 6: Final answer
    x = 666,970.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.