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Finding the Third Proportional to 142,361,819.58 and 221,865,972.96

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Solution

The third proportional to 142,361,819.58 and 221,865,972.96 is: 345,770,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,361,819.58 : 221,865,972.96 = 221,865,972.96 : x
  2. Step 2: Convert to fraction form
    142,361,819.58/221,865,972.96 = 221,865,972.96/x
  3. Step 3: Cross multiply
    142,361,819.58x = 221,865,972.96 × 221,865,972.96
  4. Step 4: Simplify right side
    142,361,819.58x = 49,224,509,957,900,120
  5. Step 5: Solve for x
    x = 49,224,509,957,900,120/142,361,819.58
  6. Step 6: Final answer
    x = 345,770,446.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.