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Finding the Third Proportional to 66,597.50 and 141,670.50

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Solution

The third proportional to 66,597.50 and 141,670.50 is: 301,370.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,597.50 : 141,670.50 = 141,670.50 : x
  2. Step 2: Convert to fraction form
    66,597.50/141,670.50 = 141,670.50/x
  3. Step 3: Cross multiply
    66,597.50x = 141,670.50 × 141,670.50
  4. Step 4: Simplify right side
    66,597.50x = 20,070,530,570.25
  5. Step 5: Solve for x
    x = 20,070,530,570.25/66,597.50
  6. Step 6: Final answer
    x = 301,370.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.