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Finding the Third Proportional to 66,543.50 and 105,825.50

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Solution

The third proportional to 66,543.50 and 105,825.50 is: 168,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,543.50 : 105,825.50 = 105,825.50 : x
  2. Step 2: Convert to fraction form
    66,543.50/105,825.50 = 105,825.50/x
  3. Step 3: Cross multiply
    66,543.50x = 105,825.50 × 105,825.50
  4. Step 4: Simplify right side
    66,543.50x = 11,199,036,450.25
  5. Step 5: Solve for x
    x = 11,199,036,450.25/66,543.50
  6. Step 6: Final answer
    x = 168,296.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.