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Finding the Third Proportional to 65,407.50 and 136,768.50

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Solution

The third proportional to 65,407.50 and 136,768.50 is: 285,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,407.50 : 136,768.50 = 136,768.50 : x
  2. Step 2: Convert to fraction form
    65,407.50/136,768.50 = 136,768.50/x
  3. Step 3: Cross multiply
    65,407.50x = 136,768.50 × 136,768.50
  4. Step 4: Simplify right side
    65,407.50x = 18,705,622,592.25
  5. Step 5: Solve for x
    x = 18,705,622,592.25/65,407.50
  6. Step 6: Final answer
    x = 285,985.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.