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Finding the Third Proportional to 198,729 and 297,337.50

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Solution

The third proportional to 198,729 and 297,337.50 is: 444,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,729 : 297,337.50 = 297,337.50 : x
  2. Step 2: Convert to fraction form
    198,729/297,337.50 = 297,337.50/x
  3. Step 3: Cross multiply
    198,729x = 297,337.50 × 297,337.50
  4. Step 4: Simplify right side
    198,729x = 88,409,588,906.25
  5. Step 5: Solve for x
    x = 88,409,588,906.25/198,729
  6. Step 6: Final answer
    x = 444,875.13

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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.