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Finding the Third Proportional to 64,064 and 135,512

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Solution

The third proportional to 64,064 and 135,512 is: 286,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,064 : 135,512 = 135,512 : x
  2. Step 2: Convert to fraction form
    64,064/135,512 = 135,512/x
  3. Step 3: Cross multiply
    64,064x = 135,512 × 135,512
  4. Step 4: Simplify right side
    64,064x = 18,363,502,144
  5. Step 5: Solve for x
    x = 18,363,502,144/64,064
  6. Step 6: Final answer
    x = 286,643.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.