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Finding the Third Proportional to 338,703 and 498,697

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Solution

The third proportional to 338,703 and 498,697 is: 734,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,703 : 498,697 = 498,697 : x
  2. Step 2: Convert to fraction form
    338,703/498,697 = 498,697/x
  3. Step 3: Cross multiply
    338,703x = 498,697 × 498,697
  4. Step 4: Simplify right side
    338,703x = 248,698,697,809
  5. Step 5: Solve for x
    x = 248,698,697,809/338,703
  6. Step 6: Final answer
    x = 734,267.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.