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Finding the Third Proportional to 65,428.75 and 128,123.75

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Solution

The third proportional to 65,428.75 and 128,123.75 is: 250,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,428.75 : 128,123.75 = 128,123.75 : x
  2. Step 2: Convert to fraction form
    65,428.75/128,123.75 = 128,123.75/x
  3. Step 3: Cross multiply
    65,428.75x = 128,123.75 × 128,123.75
  4. Step 4: Simplify right side
    65,428.75x = 16,415,695,314.06
  5. Step 5: Solve for x
    x = 16,415,695,314.06/65,428.75
  6. Step 6: Final answer
    x = 250,894.22

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.