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Finding the Third Proportional to 130,638 and 183,968.25

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Solution

The third proportional to 130,638 and 183,968.25 is: 259,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,638 : 183,968.25 = 183,968.25 : x
  2. Step 2: Convert to fraction form
    130,638/183,968.25 = 183,968.25/x
  3. Step 3: Cross multiply
    130,638x = 183,968.25 × 183,968.25
  4. Step 4: Simplify right side
    130,638x = 33,844,317,008.06
  5. Step 5: Solve for x
    x = 33,844,317,008.06/130,638
  6. Step 6: Final answer
    x = 259,069.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.