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Finding the Third Proportional to 198,309 and 297,901.50

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Solution

The third proportional to 198,309 and 297,901.50 is: 447,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,309 : 297,901.50 = 297,901.50 : x
  2. Step 2: Convert to fraction form
    198,309/297,901.50 = 297,901.50/x
  3. Step 3: Cross multiply
    198,309x = 297,901.50 × 297,901.50
  4. Step 4: Simplify right side
    198,309x = 88,745,303,702.25
  5. Step 5: Solve for x
    x = 88,745,303,702.25/198,309
  6. Step 6: Final answer
    x = 447,510.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.