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Finding the Third Proportional to 319,318 and 479,023

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Solution

The third proportional to 319,318 and 479,023 is: 718,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,318 : 479,023 = 479,023 : x
  2. Step 2: Convert to fraction form
    319,318/479,023 = 479,023/x
  3. Step 3: Cross multiply
    319,318x = 479,023 × 479,023
  4. Step 4: Simplify right side
    319,318x = 229,463,034,529
  5. Step 5: Solve for x
    x = 229,463,034,529/319,318
  6. Step 6: Final answer
    x = 718,603.51

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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.