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Finding the Third Proportional to 140,220 and 305,816

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Solution

The third proportional to 140,220 and 305,816 is: 666,976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,220 : 305,816 = 305,816 : x
  2. Step 2: Convert to fraction form
    140,220/305,816 = 305,816/x
  3. Step 3: Cross multiply
    140,220x = 305,816 × 305,816
  4. Step 4: Simplify right side
    140,220x = 93,523,425,856
  5. Step 5: Solve for x
    x = 93,523,425,856/140,220
  6. Step 6: Final answer
    x = 666,976.36

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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.