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Finding the Third Proportional to 70,451,811 and 142,884,567

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Solution

The third proportional to 70,451,811 and 142,884,567 is: 289,786,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,451,811 : 142,884,567 = 142,884,567 : x
  2. Step 2: Convert to fraction form
    70,451,811/142,884,567 = 142,884,567/x
  3. Step 3: Cross multiply
    70,451,811x = 142,884,567 × 142,884,567
  4. Step 4: Simplify right side
    70,451,811x = 20,415,999,486,777,488
  5. Step 5: Solve for x
    x = 20,415,999,486,777,488/70,451,811
  6. Step 6: Final answer
    x = 289,786,723.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.