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Finding the Third Proportional to 142,166.50 and 306,203

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Solution

The third proportional to 142,166.50 and 306,203 is: 659,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,166.50 : 306,203 = 306,203 : x
  2. Step 2: Convert to fraction form
    142,166.50/306,203 = 306,203/x
  3. Step 3: Cross multiply
    142,166.50x = 306,203 × 306,203
  4. Step 4: Simplify right side
    142,166.50x = 93,760,277,209
  5. Step 5: Solve for x
    x = 93,760,277,209/142,166.50
  6. Step 6: Final answer
    x = 659,510.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.