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Finding the Third Proportional to 20,821,098 and 31,109,169

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Solution

The third proportional to 20,821,098 and 31,109,169 is: 46,480,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,821,098 : 31,109,169 = 31,109,169 : x
  2. Step 2: Convert to fraction form
    20,821,098/31,109,169 = 31,109,169/x
  3. Step 3: Cross multiply
    20,821,098x = 31,109,169 × 31,109,169
  4. Step 4: Simplify right side
    20,821,098x = 967,780,395,870,561
  5. Step 5: Solve for x
    x = 967,780,395,870,561/20,821,098
  6. Step 6: Final answer
    x = 46,480,756.96

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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.