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Finding the Third Proportional to 66,170 and 144,580

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Solution

The third proportional to 66,170 and 144,580 is: 315,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,170 : 144,580 = 144,580 : x
  2. Step 2: Convert to fraction form
    66,170/144,580 = 144,580/x
  3. Step 3: Cross multiply
    66,170x = 144,580 × 144,580
  4. Step 4: Simplify right side
    66,170x = 20,903,376,400
  5. Step 5: Solve for x
    x = 20,903,376,400/66,170
  6. Step 6: Final answer
    x = 315,904.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.