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Finding the Third Proportional to 66,535 and 144,144

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Solution

The third proportional to 66,535 and 144,144 is: 312,279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,535 : 144,144 = 144,144 : x
  2. Step 2: Convert to fraction form
    66,535/144,144 = 144,144/x
  3. Step 3: Cross multiply
    66,535x = 144,144 × 144,144
  4. Step 4: Simplify right side
    66,535x = 20,777,492,736
  5. Step 5: Solve for x
    x = 20,777,492,736/66,535
  6. Step 6: Final answer
    x = 312,279.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.