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Finding the Third Proportional to 130,200 and 199,140

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Solution

The third proportional to 130,200 and 199,140 is: 304,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,200 : 199,140 = 199,140 : x
  2. Step 2: Convert to fraction form
    130,200/199,140 = 199,140/x
  3. Step 3: Cross multiply
    130,200x = 199,140 × 199,140
  4. Step 4: Simplify right side
    130,200x = 39,656,739,600
  5. Step 5: Solve for x
    x = 39,656,739,600/130,200
  6. Step 6: Final answer
    x = 304,583.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.