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Finding the Third Proportional to 142,630 and 305,500

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Solution

The third proportional to 142,630 and 305,500 is: 654,352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,630 : 305,500 = 305,500 : x
  2. Step 2: Convert to fraction form
    142,630/305,500 = 305,500/x
  3. Step 3: Cross multiply
    142,630x = 305,500 × 305,500
  4. Step 4: Simplify right side
    142,630x = 93,330,250,000
  5. Step 5: Solve for x
    x = 93,330,250,000/142,630
  6. Step 6: Final answer
    x = 654,352.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.