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Finding the Third Proportional to 138,988 and 271,064

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Solution

The third proportional to 138,988 and 271,064 is: 528,647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,988 : 271,064 = 271,064 : x
  2. Step 2: Convert to fraction form
    138,988/271,064 = 271,064/x
  3. Step 3: Cross multiply
    138,988x = 271,064 × 271,064
  4. Step 4: Simplify right side
    138,988x = 73,475,692,096
  5. Step 5: Solve for x
    x = 73,475,692,096/138,988
  6. Step 6: Final answer
    x = 528,647.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.