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Finding the Third Proportional to 145,172 and 222,080

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Solution

The third proportional to 145,172 and 222,080 is: 339,731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,172 : 222,080 = 222,080 : x
  2. Step 2: Convert to fraction form
    145,172/222,080 = 222,080/x
  3. Step 3: Cross multiply
    145,172x = 222,080 × 222,080
  4. Step 4: Simplify right side
    145,172x = 49,319,526,400
  5. Step 5: Solve for x
    x = 49,319,526,400/145,172
  6. Step 6: Final answer
    x = 339,731.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.