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Finding the Third Proportional to 138,060 and 301,968

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Solution

The third proportional to 138,060 and 301,968 is: 660,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,060 : 301,968 = 301,968 : x
  2. Step 2: Convert to fraction form
    138,060/301,968 = 301,968/x
  3. Step 3: Cross multiply
    138,060x = 301,968 × 301,968
  4. Step 4: Simplify right side
    138,060x = 91,184,673,024
  5. Step 5: Solve for x
    x = 91,184,673,024/138,060
  6. Step 6: Final answer
    x = 660,471.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.