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Finding the Third Proportional to 31,904,978 and 70,189,732

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Solution

The third proportional to 31,904,978 and 70,189,732 is: 154,414,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,904,978 : 70,189,732 = 70,189,732 : x
  2. Step 2: Convert to fraction form
    31,904,978/70,189,732 = 70,189,732/x
  3. Step 3: Cross multiply
    31,904,978x = 70,189,732 × 70,189,732
  4. Step 4: Simplify right side
    31,904,978x = 4,926,598,478,231,824
  5. Step 5: Solve for x
    x = 4,926,598,478,231,824/31,904,978
  6. Step 6: Final answer
    x = 154,414,727.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.