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Finding the Third Proportional to 98,483 and 144,231.50

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Solution

The third proportional to 98,483 and 144,231.50 is: 211,231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,483 : 144,231.50 = 144,231.50 : x
  2. Step 2: Convert to fraction form
    98,483/144,231.50 = 144,231.50/x
  3. Step 3: Cross multiply
    98,483x = 144,231.50 × 144,231.50
  4. Step 4: Simplify right side
    98,483x = 20,802,725,592.25
  5. Step 5: Solve for x
    x = 20,802,725,592.25/98,483
  6. Step 6: Final answer
    x = 211,231.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.