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Finding the Third Proportional to 358,279 and 509,270

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Solution

The third proportional to 358,279 and 509,270 is: 723,893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,279 : 509,270 = 509,270 : x
  2. Step 2: Convert to fraction form
    358,279/509,270 = 509,270/x
  3. Step 3: Cross multiply
    358,279x = 509,270 × 509,270
  4. Step 4: Simplify right side
    358,279x = 259,355,932,900
  5. Step 5: Solve for x
    x = 259,355,932,900/358,279
  6. Step 6: Final answer
    x = 723,893.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.