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Finding the Third Proportional to 66,516 and 144,670

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Solution

The third proportional to 66,516 and 144,670 is: 314,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,516 : 144,670 = 144,670 : x
  2. Step 2: Convert to fraction form
    66,516/144,670 = 144,670/x
  3. Step 3: Cross multiply
    66,516x = 144,670 × 144,670
  4. Step 4: Simplify right side
    66,516x = 20,929,408,900
  5. Step 5: Solve for x
    x = 20,929,408,900/66,516
  6. Step 6: Final answer
    x = 314,652.25

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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.