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Finding the Third Proportional to 328,076 and 513,983

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Solution

The third proportional to 328,076 and 513,983 is: 805,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,076 : 513,983 = 513,983 : x
  2. Step 2: Convert to fraction form
    328,076/513,983 = 513,983/x
  3. Step 3: Cross multiply
    328,076x = 513,983 × 513,983
  4. Step 4: Simplify right side
    328,076x = 264,178,524,289
  5. Step 5: Solve for x
    x = 264,178,524,289/328,076
  6. Step 6: Final answer
    x = 805,235.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.