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Finding the Third Proportional to 20,355,120 and 31,477,950

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Solution

The third proportional to 20,355,120 and 31,477,950 is: 48,678,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,355,120 : 31,477,950 = 31,477,950 : x
  2. Step 2: Convert to fraction form
    20,355,120/31,477,950 = 31,477,950/x
  3. Step 3: Cross multiply
    20,355,120x = 31,477,950 × 31,477,950
  4. Step 4: Simplify right side
    20,355,120x = 990,861,336,202,500
  5. Step 5: Solve for x
    x = 990,861,336,202,500/20,355,120
  6. Step 6: Final answer
    x = 48,678,727.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.