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Finding the Third Proportional to 328,823 and 493,280

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Solution

The third proportional to 328,823 and 493,280 is: 739,988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,823 : 493,280 = 493,280 : x
  2. Step 2: Convert to fraction form
    328,823/493,280 = 493,280/x
  3. Step 3: Cross multiply
    328,823x = 493,280 × 493,280
  4. Step 4: Simplify right side
    328,823x = 243,325,158,400
  5. Step 5: Solve for x
    x = 243,325,158,400/328,823
  6. Step 6: Final answer
    x = 739,988.26

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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.