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Finding the Third Proportional to 328,822 and 493,278

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Solution

The third proportional to 328,822 and 493,278 is: 739,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,822 : 493,278 = 493,278 : x
  2. Step 2: Convert to fraction form
    328,822/493,278 = 493,278/x
  3. Step 3: Cross multiply
    328,822x = 493,278 × 493,278
  4. Step 4: Simplify right side
    328,822x = 243,323,185,284
  5. Step 5: Solve for x
    x = 243,323,185,284/328,822
  6. Step 6: Final answer
    x = 739,984.51

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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.