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Finding the Third Proportional to 20,821,050 and 31,109,103

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Solution

The third proportional to 20,821,050 and 31,109,103 is: 46,480,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,821,050 : 31,109,103 = 31,109,103 : x
  2. Step 2: Convert to fraction form
    20,821,050/31,109,103 = 31,109,103/x
  3. Step 3: Cross multiply
    20,821,050x = 31,109,103 × 31,109,103
  4. Step 4: Simplify right side
    20,821,050x = 967,776,289,464,609
  5. Step 5: Solve for x
    x = 967,776,289,464,609/20,821,050
  6. Step 6: Final answer
    x = 46,480,666.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.