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Finding the Third Proportional to 66,889 and 105,117.50

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Solution

The third proportional to 66,889 and 105,117.50 is: 165,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,889 : 105,117.50 = 105,117.50 : x
  2. Step 2: Convert to fraction form
    66,889/105,117.50 = 105,117.50/x
  3. Step 3: Cross multiply
    66,889x = 105,117.50 × 105,117.50
  4. Step 4: Simplify right side
    66,889x = 11,049,688,806.25
  5. Step 5: Solve for x
    x = 11,049,688,806.25/66,889
  6. Step 6: Final answer
    x = 165,194.41

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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.