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Finding the Third Proportional to 66,072 and 144,216

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Solution

The third proportional to 66,072 and 144,216 is: 314,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,072 : 144,216 = 144,216 : x
  2. Step 2: Convert to fraction form
    66,072/144,216 = 144,216/x
  3. Step 3: Cross multiply
    66,072x = 144,216 × 144,216
  4. Step 4: Simplify right side
    66,072x = 20,798,254,656
  5. Step 5: Solve for x
    x = 20,798,254,656/66,072
  6. Step 6: Final answer
    x = 314,781.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.