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Finding the Third Proportional to 328,552 and 479,909

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Solution

The third proportional to 328,552 and 479,909 is: 700,992.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,552 : 479,909 = 479,909 : x
  2. Step 2: Convert to fraction form
    328,552/479,909 = 479,909/x
  3. Step 3: Cross multiply
    328,552x = 479,909 × 479,909
  4. Step 4: Simplify right side
    328,552x = 230,312,648,281
  5. Step 5: Solve for x
    x = 230,312,648,281/328,552
  6. Step 6: Final answer
    x = 700,992.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.