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Finding the Third Proportional to 198,307.69 and 302,108.91

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Solution

The third proportional to 198,307.69 and 302,108.91 is: 460,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,307.69 : 302,108.91 = 302,108.91 : x
  2. Step 2: Convert to fraction form
    198,307.69/302,108.91 = 302,108.91/x
  3. Step 3: Cross multiply
    198,307.69x = 302,108.91 × 302,108.91
  4. Step 4: Simplify right side
    198,307.69x = 91,269,791,235.57
  5. Step 5: Solve for x
    x = 91,269,791,235.57/198,307.69
  6. Step 6: Final answer
    x = 460,243.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.