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Finding the Third Proportional to 140,194 and 308,424

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Solution

The third proportional to 140,194 and 308,424 is: 678,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,194 : 308,424 = 308,424 : x
  2. Step 2: Convert to fraction form
    140,194/308,424 = 308,424/x
  3. Step 3: Cross multiply
    140,194x = 308,424 × 308,424
  4. Step 4: Simplify right side
    140,194x = 95,125,363,776
  5. Step 5: Solve for x
    x = 95,125,363,776/140,194
  6. Step 6: Final answer
    x = 678,526.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.