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Finding the Third Proportional to 140,300.25 and 308,637.75

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Solution

The third proportional to 140,300.25 and 308,637.75 is: 678,952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,300.25 : 308,637.75 = 308,637.75 : x
  2. Step 2: Convert to fraction form
    140,300.25/308,637.75 = 308,637.75/x
  3. Step 3: Cross multiply
    140,300.25x = 308,637.75 × 308,637.75
  4. Step 4: Simplify right side
    140,300.25x = 95,257,260,725.06
  5. Step 5: Solve for x
    x = 95,257,260,725.06/140,300.25
  6. Step 6: Final answer
    x = 678,952.89

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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.