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Finding the Third Proportional to 20,170,950 and 30,277,080

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Solution

The third proportional to 20,170,950 and 30,277,080 is: 45,446,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170,950 : 30,277,080 = 30,277,080 : x
  2. Step 2: Convert to fraction form
    20,170,950/30,277,080 = 30,277,080/x
  3. Step 3: Cross multiply
    20,170,950x = 30,277,080 × 30,277,080
  4. Step 4: Simplify right side
    20,170,950x = 916,701,573,326,400
  5. Step 5: Solve for x
    x = 916,701,573,326,400/20,170,950
  6. Step 6: Final answer
    x = 45,446,623.65

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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.