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Finding the Third Proportional to 101,457.50 and 136,102.50

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Solution

The third proportional to 101,457.50 and 136,102.50 is: 182,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,457.50 : 136,102.50 = 136,102.50 : x
  2. Step 2: Convert to fraction form
    101,457.50/136,102.50 = 136,102.50/x
  3. Step 3: Cross multiply
    101,457.50x = 136,102.50 × 136,102.50
  4. Step 4: Simplify right side
    101,457.50x = 18,523,890,506.25
  5. Step 5: Solve for x
    x = 18,523,890,506.25/101,457.50
  6. Step 6: Final answer
    x = 182,577.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.