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Finding the Third Proportional to 198,515.81 and 429,831.56

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Solution

The third proportional to 198,515.81 and 429,831.56 is: 930,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,515.81 : 429,831.56 = 429,831.56 : x
  2. Step 2: Convert to fraction form
    198,515.81/429,831.56 = 429,831.56/x
  3. Step 3: Cross multiply
    198,515.81x = 429,831.56 × 429,831.56
  4. Step 4: Simplify right side
    198,515.81x = 184,755,172,121.19
  5. Step 5: Solve for x
    x = 184,755,172,121.19/198,515.81
  6. Step 6: Final answer
    x = 930,682.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.