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Finding the Third Proportional to 66,064 and 142,496

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Solution

The third proportional to 66,064 and 142,496 is: 307,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,064 : 142,496 = 142,496 : x
  2. Step 2: Convert to fraction form
    66,064/142,496 = 142,496/x
  3. Step 3: Cross multiply
    66,064x = 142,496 × 142,496
  4. Step 4: Simplify right side
    66,064x = 20,305,110,016
  5. Step 5: Solve for x
    x = 20,305,110,016/66,064
  6. Step 6: Final answer
    x = 307,355.14

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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.