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Finding the Third Proportional to 66,224 and 144,128

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Solution

The third proportional to 66,224 and 144,128 is: 313,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,224 : 144,128 = 144,128 : x
  2. Step 2: Convert to fraction form
    66,224/144,128 = 144,128/x
  3. Step 3: Cross multiply
    66,224x = 144,128 × 144,128
  4. Step 4: Simplify right side
    66,224x = 20,772,880,384
  5. Step 5: Solve for x
    x = 20,772,880,384/66,224
  6. Step 6: Final answer
    x = 313,676.01

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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.