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Finding the Third Proportional to 198,747 and 295,420.50

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Solution

The third proportional to 198,747 and 295,420.50 is: 439,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,747 : 295,420.50 = 295,420.50 : x
  2. Step 2: Convert to fraction form
    198,747/295,420.50 = 295,420.50/x
  3. Step 3: Cross multiply
    198,747x = 295,420.50 × 295,420.50
  4. Step 4: Simplify right side
    198,747x = 87,273,271,820.25
  5. Step 5: Solve for x
    x = 87,273,271,820.25/198,747
  6. Step 6: Final answer
    x = 439,117.43

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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.