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Finding the Third Proportional to 221,403.38 and 298,981.13

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Solution

The third proportional to 221,403.38 and 298,981.13 is: 403,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,403.38 : 298,981.13 = 298,981.13 : x
  2. Step 2: Convert to fraction form
    221,403.38/298,981.13 = 298,981.13/x
  3. Step 3: Cross multiply
    221,403.38x = 298,981.13 × 298,981.13
  4. Step 4: Simplify right side
    221,403.38x = 89,389,713,106.27
  5. Step 5: Solve for x
    x = 89,389,713,106.27/221,403.38
  6. Step 6: Final answer
    x = 403,741.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.