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Finding the Third Proportional to 145,220 and 222,102

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Solution

The third proportional to 145,220 and 222,102 is: 339,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,220 : 222,102 = 222,102 : x
  2. Step 2: Convert to fraction form
    145,220/222,102 = 222,102/x
  3. Step 3: Cross multiply
    145,220x = 222,102 × 222,102
  4. Step 4: Simplify right side
    145,220x = 49,329,298,404
  5. Step 5: Solve for x
    x = 49,329,298,404/145,220
  6. Step 6: Final answer
    x = 339,686.67

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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.