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Finding the Third Proportional to 338,647 and 723,949

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Solution

The third proportional to 338,647 and 723,949 is: 1,547,635.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,647 : 723,949 = 723,949 : x
  2. Step 2: Convert to fraction form
    338,647/723,949 = 723,949/x
  3. Step 3: Cross multiply
    338,647x = 723,949 × 723,949
  4. Step 4: Simplify right side
    338,647x = 524,102,154,601
  5. Step 5: Solve for x
    x = 524,102,154,601/338,647
  6. Step 6: Final answer
    x = 1,547,635.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.