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Finding the Third Proportional to 147,686 and 229,120

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Solution

The third proportional to 147,686 and 229,120 is: 355,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,686 : 229,120 = 229,120 : x
  2. Step 2: Convert to fraction form
    147,686/229,120 = 229,120/x
  3. Step 3: Cross multiply
    147,686x = 229,120 × 229,120
  4. Step 4: Simplify right side
    147,686x = 52,495,974,400
  5. Step 5: Solve for x
    x = 52,495,974,400/147,686
  6. Step 6: Final answer
    x = 355,456.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.