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Finding the Third Proportional to 66,580 and 142,952

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Solution

The third proportional to 66,580 and 142,952 is: 306,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,580 : 142,952 = 142,952 : x
  2. Step 2: Convert to fraction form
    66,580/142,952 = 142,952/x
  3. Step 3: Cross multiply
    66,580x = 142,952 × 142,952
  4. Step 4: Simplify right side
    66,580x = 20,435,274,304
  5. Step 5: Solve for x
    x = 20,435,274,304/66,580
  6. Step 6: Final answer
    x = 306,928.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.