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Finding the Third Proportional to 138,968 and 299,968

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Solution

The third proportional to 138,968 and 299,968 is: 647,492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,968 : 299,968 = 299,968 : x
  2. Step 2: Convert to fraction form
    138,968/299,968 = 299,968/x
  3. Step 3: Cross multiply
    138,968x = 299,968 × 299,968
  4. Step 4: Simplify right side
    138,968x = 89,980,801,024
  5. Step 5: Solve for x
    x = 89,980,801,024/138,968
  6. Step 6: Final answer
    x = 647,492.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.