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Finding the Third Proportional to 66,076 and 142,520

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Solution

The third proportional to 66,076 and 142,520 is: 307,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,076 : 142,520 = 142,520 : x
  2. Step 2: Convert to fraction form
    66,076/142,520 = 142,520/x
  3. Step 3: Cross multiply
    66,076x = 142,520 × 142,520
  4. Step 4: Simplify right side
    66,076x = 20,311,950,400
  5. Step 5: Solve for x
    x = 20,311,950,400/66,076
  6. Step 6: Final answer
    x = 307,402.85

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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.