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Finding the Third Proportional to 140,478.75 and 305,903.25

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Solution

The third proportional to 140,478.75 and 305,903.25 is: 666,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,478.75 : 305,903.25 = 305,903.25 : x
  2. Step 2: Convert to fraction form
    140,478.75/305,903.25 = 305,903.25/x
  3. Step 3: Cross multiply
    140,478.75x = 305,903.25 × 305,903.25
  4. Step 4: Simplify right side
    140,478.75x = 93,576,798,360.56
  5. Step 5: Solve for x
    x = 93,576,798,360.56/140,478.75
  6. Step 6: Final answer
    x = 666,127.78

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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.