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Finding the Third Proportional to 71,195,760 and 106,983,200.25

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Solution

The third proportional to 71,195,760 and 106,983,200.25 is: 160,759,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,195,760 : 106,983,200.25 = 106,983,200.25 : x
  2. Step 2: Convert to fraction form
    71,195,760/106,983,200.25 = 106,983,200.25/x
  3. Step 3: Cross multiply
    71,195,760x = 106,983,200.25 × 106,983,200.25
  4. Step 4: Simplify right side
    71,195,760x = 11,445,405,135,731,600
  5. Step 5: Solve for x
    x = 11,445,405,135,731,600/71,195,760
  6. Step 6: Final answer
    x = 160,759,645.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.