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Finding the Third Proportional to 328,824 and 493,281

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Solution

The third proportional to 328,824 and 493,281 is: 739,989.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,824 : 493,281 = 493,281 : x
  2. Step 2: Convert to fraction form
    328,824/493,281 = 493,281/x
  3. Step 3: Cross multiply
    328,824x = 493,281 × 493,281
  4. Step 4: Simplify right side
    328,824x = 243,326,144,961
  5. Step 5: Solve for x
    x = 243,326,144,961/328,824
  6. Step 6: Final answer
    x = 739,989.01

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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.