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Finding the Third Proportional to 66,887 and 105,114.50

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Solution

The third proportional to 66,887 and 105,114.50 is: 165,189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,887 : 105,114.50 = 105,114.50 : x
  2. Step 2: Convert to fraction form
    66,887/105,114.50 = 105,114.50/x
  3. Step 3: Cross multiply
    66,887x = 105,114.50 × 105,114.50
  4. Step 4: Simplify right side
    66,887x = 11,049,058,110.25
  5. Step 5: Solve for x
    x = 11,049,058,110.25/66,887
  6. Step 6: Final answer
    x = 165,189.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.