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Finding the Third Proportional to 66,870 and 145,260

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Solution

The third proportional to 66,870 and 145,260 is: 315,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,870 : 145,260 = 145,260 : x
  2. Step 2: Convert to fraction form
    66,870/145,260 = 145,260/x
  3. Step 3: Cross multiply
    66,870x = 145,260 × 145,260
  4. Step 4: Simplify right side
    66,870x = 21,100,467,600
  5. Step 5: Solve for x
    x = 21,100,467,600/66,870
  6. Step 6: Final answer
    x = 315,544.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.