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Finding the Third Proportional to 328,842 and 493,307

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Solution

The third proportional to 328,842 and 493,307 is: 740,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,842 : 493,307 = 493,307 : x
  2. Step 2: Convert to fraction form
    328,842/493,307 = 493,307/x
  3. Step 3: Cross multiply
    328,842x = 493,307 × 493,307
  4. Step 4: Simplify right side
    328,842x = 243,351,796,249
  5. Step 5: Solve for x
    x = 243,351,796,249/328,842
  6. Step 6: Final answer
    x = 740,026.51

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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.