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Finding the Third Proportional to 328,942.50 and 720,705.75

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Solution

The third proportional to 328,942.50 and 720,705.75 is: 1,579,050.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,942.50 : 720,705.75 = 720,705.75 : x
  2. Step 2: Convert to fraction form
    328,942.50/720,705.75 = 720,705.75/x
  3. Step 3: Cross multiply
    328,942.50x = 720,705.75 × 720,705.75
  4. Step 4: Simplify right side
    328,942.50x = 519,416,778,083.06
  5. Step 5: Solve for x
    x = 519,416,778,083.06/328,942.50
  6. Step 6: Final answer
    x = 1,579,050.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.