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Finding the Third Proportional to 143,888 and 316,128

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Solution

The third proportional to 143,888 and 316,128 is: 694,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,888 : 316,128 = 316,128 : x
  2. Step 2: Convert to fraction form
    143,888/316,128 = 316,128/x
  3. Step 3: Cross multiply
    143,888x = 316,128 × 316,128
  4. Step 4: Simplify right side
    143,888x = 99,936,912,384
  5. Step 5: Solve for x
    x = 99,936,912,384/143,888
  6. Step 6: Final answer
    x = 694,546.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.