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Finding the Third Proportional to 65,477.74 and 140,293.90

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Solution

The third proportional to 65,477.74 and 140,293.90 is: 300,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,477.74 : 140,293.90 = 140,293.90 : x
  2. Step 2: Convert to fraction form
    65,477.74/140,293.90 = 140,293.90/x
  3. Step 3: Cross multiply
    65,477.74x = 140,293.90 × 140,293.90
  4. Step 4: Simplify right side
    65,477.74x = 19,682,377,938.79
  5. Step 5: Solve for x
    x = 19,682,377,938.79/65,477.74
  6. Step 6: Final answer
    x = 300,596.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.