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Finding the Third Proportional to 66,258 and 85,981.50

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Solution

The third proportional to 66,258 and 85,981.50 is: 111,576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,258 : 85,981.50 = 85,981.50 : x
  2. Step 2: Convert to fraction form
    66,258/85,981.50 = 85,981.50/x
  3. Step 3: Cross multiply
    66,258x = 85,981.50 × 85,981.50
  4. Step 4: Simplify right side
    66,258x = 7,392,818,342.25
  5. Step 5: Solve for x
    x = 7,392,818,342.25/66,258
  6. Step 6: Final answer
    x = 111,576.24

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.