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Finding the Third Proportional to 20,170,971 and 30,277,107

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Solution

The third proportional to 20,170,971 and 30,277,107 is: 45,446,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170,971 : 30,277,107 = 30,277,107 : x
  2. Step 2: Convert to fraction form
    20,170,971/30,277,107 = 30,277,107/x
  3. Step 3: Cross multiply
    20,170,971x = 30,277,107 × 30,277,107
  4. Step 4: Simplify right side
    20,170,971x = 916,703,208,289,449
  5. Step 5: Solve for x
    x = 916,703,208,289,449/20,170,971
  6. Step 6: Final answer
    x = 45,446,657.39

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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.