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Finding the Third Proportional to 67,104 and 145,136

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Solution

The third proportional to 67,104 and 145,136 is: 313,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,104 : 145,136 = 145,136 : x
  2. Step 2: Convert to fraction form
    67,104/145,136 = 145,136/x
  3. Step 3: Cross multiply
    67,104x = 145,136 × 145,136
  4. Step 4: Simplify right side
    67,104x = 21,064,458,496
  5. Step 5: Solve for x
    x = 21,064,458,496/67,104
  6. Step 6: Final answer
    x = 313,907.64

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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.