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Finding the Third Proportional to 328,872 and 491,987

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Solution

The third proportional to 328,872 and 491,987 is: 736,004.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,872 : 491,987 = 491,987 : x
  2. Step 2: Convert to fraction form
    328,872/491,987 = 491,987/x
  3. Step 3: Cross multiply
    328,872x = 491,987 × 491,987
  4. Step 4: Simplify right side
    328,872x = 242,051,208,169
  5. Step 5: Solve for x
    x = 242,051,208,169/328,872
  6. Step 6: Final answer
    x = 736,004.31

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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.