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Finding the Third Proportional to 20,939,384 and 31,431,236

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Solution

The third proportional to 20,939,384 and 31,431,236 is: 47,180,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,939,384 : 31,431,236 = 31,431,236 : x
  2. Step 2: Convert to fraction form
    20,939,384/31,431,236 = 31,431,236/x
  3. Step 3: Cross multiply
    20,939,384x = 31,431,236 × 31,431,236
  4. Step 4: Simplify right side
    20,939,384x = 987,922,596,487,696
  5. Step 5: Solve for x
    x = 987,922,596,487,696/20,939,384
  6. Step 6: Final answer
    x = 47,180,117.45

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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.