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Finding the Third Proportional to 198,739 and 295,405.50

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Solution

The third proportional to 198,739 and 295,405.50 is: 439,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,739 : 295,405.50 = 295,405.50 : x
  2. Step 2: Convert to fraction form
    198,739/295,405.50 = 295,405.50/x
  3. Step 3: Cross multiply
    198,739x = 295,405.50 × 295,405.50
  4. Step 4: Simplify right side
    198,739x = 87,264,409,430.25
  5. Step 5: Solve for x
    x = 87,264,409,430.25/198,739
  6. Step 6: Final answer
    x = 439,090.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.