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Finding the Third Proportional to 66,028 and 142,580

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Solution

The third proportional to 66,028 and 142,580 is: 307,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,028 : 142,580 = 142,580 : x
  2. Step 2: Convert to fraction form
    66,028/142,580 = 142,580/x
  3. Step 3: Cross multiply
    66,028x = 142,580 × 142,580
  4. Step 4: Simplify right side
    66,028x = 20,329,056,400
  5. Step 5: Solve for x
    x = 20,329,056,400/66,028
  6. Step 6: Final answer
    x = 307,885.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.