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Finding the Third Proportional to 272,038.50 and 408,300.75

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Solution

The third proportional to 272,038.50 and 408,300.75 is: 612,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,038.50 : 408,300.75 = 408,300.75 : x
  2. Step 2: Convert to fraction form
    272,038.50/408,300.75 = 408,300.75/x
  3. Step 3: Cross multiply
    272,038.50x = 408,300.75 × 408,300.75
  4. Step 4: Simplify right side
    272,038.50x = 166,709,502,450.56
  5. Step 5: Solve for x
    x = 166,709,502,450.56/272,038.50
  6. Step 6: Final answer
    x = 612,815.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.