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Finding the Third Proportional to 66,258 and 129,154.50

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Solution

The third proportional to 66,258 and 129,154.50 is: 251,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,258 : 129,154.50 = 129,154.50 : x
  2. Step 2: Convert to fraction form
    66,258/129,154.50 = 129,154.50/x
  3. Step 3: Cross multiply
    66,258x = 129,154.50 × 129,154.50
  4. Step 4: Simplify right side
    66,258x = 16,680,884,870.25
  5. Step 5: Solve for x
    x = 16,680,884,870.25/66,258
  6. Step 6: Final answer
    x = 251,756.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.