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Finding the Third Proportional to 13,438,143 and 20,683,188

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Solution

The third proportional to 13,438,143 and 20,683,188 is: 31,834,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438,143 : 20,683,188 = 20,683,188 : x
  2. Step 2: Convert to fraction form
    13,438,143/20,683,188 = 20,683,188/x
  3. Step 3: Cross multiply
    13,438,143x = 20,683,188 × 20,683,188
  4. Step 4: Simplify right side
    13,438,143x = 427,794,265,843,344
  5. Step 5: Solve for x
    x = 427,794,265,843,344/13,438,143
  6. Step 6: Final answer
    x = 31,834,329.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.