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Finding the Third Proportional to 198,830.25 and 301,140

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Solution

The third proportional to 198,830.25 and 301,140 is: 456,094.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,830.25 : 301,140 = 301,140 : x
  2. Step 2: Convert to fraction form
    198,830.25/301,140 = 301,140/x
  3. Step 3: Cross multiply
    198,830.25x = 301,140 × 301,140
  4. Step 4: Simplify right side
    198,830.25x = 90,685,299,600
  5. Step 5: Solve for x
    x = 90,685,299,600/198,830.25
  6. Step 6: Final answer
    x = 456,094.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.