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Finding the Third Proportional to 150,155 and 326,515

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Solution

The third proportional to 150,155 and 326,515 is: 710,013.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,155 : 326,515 = 326,515 : x
  2. Step 2: Convert to fraction form
    150,155/326,515 = 326,515/x
  3. Step 3: Cross multiply
    150,155x = 326,515 × 326,515
  4. Step 4: Simplify right side
    150,155x = 106,612,045,225
  5. Step 5: Solve for x
    x = 106,612,045,225/150,155
  6. Step 6: Final answer
    x = 710,013.29

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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.