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Finding the Third Proportional to 338,985 and 669,465

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Solution

The third proportional to 338,985 and 669,465 is: 1,322,133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,985 : 669,465 = 669,465 : x
  2. Step 2: Convert to fraction form
    338,985/669,465 = 669,465/x
  3. Step 3: Cross multiply
    338,985x = 669,465 × 669,465
  4. Step 4: Simplify right side
    338,985x = 448,183,386,225
  5. Step 5: Solve for x
    x = 448,183,386,225/338,985
  6. Step 6: Final answer
    x = 1,322,133.39

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.