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Finding the Third Proportional to 243,546.75 and 355,893.75

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Solution

The third proportional to 243,546.75 and 355,893.75 is: 520,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,546.75 : 355,893.75 = 355,893.75 : x
  2. Step 2: Convert to fraction form
    243,546.75/355,893.75 = 355,893.75/x
  3. Step 3: Cross multiply
    243,546.75x = 355,893.75 × 355,893.75
  4. Step 4: Simplify right side
    243,546.75x = 126,660,361,289.06
  5. Step 5: Solve for x
    x = 126,660,361,289.06/243,546.75
  6. Step 6: Final answer
    x = 520,065.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.