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Finding the Third Proportional to 65,660.63 and 128,039.63

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Solution

The third proportional to 65,660.63 and 128,039.63 is: 249,680.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,660.63 : 128,039.63 = 128,039.63 : x
  2. Step 2: Convert to fraction form
    65,660.63/128,039.63 = 128,039.63/x
  3. Step 3: Cross multiply
    65,660.63x = 128,039.63 × 128,039.63
  4. Step 4: Simplify right side
    65,660.63x = 16,394,145,570.14
  5. Step 5: Solve for x
    x = 16,394,145,570.14/65,660.63
  6. Step 6: Final answer
    x = 249,680.01

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.