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Finding the Third Proportional to 198,699 and 299,911.50

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Solution

The third proportional to 198,699 and 299,911.50 is: 452,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,699 : 299,911.50 = 299,911.50 : x
  2. Step 2: Convert to fraction form
    198,699/299,911.50 = 299,911.50/x
  3. Step 3: Cross multiply
    198,699x = 299,911.50 × 299,911.50
  4. Step 4: Simplify right side
    198,699x = 89,946,907,832.25
  5. Step 5: Solve for x
    x = 89,946,907,832.25/198,699
  6. Step 6: Final answer
    x = 452,679.22

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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.