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Finding the Third Proportional to 138,064 and 301,972

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Solution

The third proportional to 138,064 and 301,972 is: 660,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,064 : 301,972 = 301,972 : x
  2. Step 2: Convert to fraction form
    138,064/301,972 = 301,972/x
  3. Step 3: Cross multiply
    138,064x = 301,972 × 301,972
  4. Step 4: Simplify right side
    138,064x = 91,187,088,784
  5. Step 5: Solve for x
    x = 91,187,088,784/138,064
  6. Step 6: Final answer
    x = 660,469.70

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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.