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Finding the Third Proportional to 338,506 and 743,440

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Solution

The third proportional to 338,506 and 743,440 is: 1,632,771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,506 : 743,440 = 743,440 : x
  2. Step 2: Convert to fraction form
    338,506/743,440 = 743,440/x
  3. Step 3: Cross multiply
    338,506x = 743,440 × 743,440
  4. Step 4: Simplify right side
    338,506x = 552,703,033,600
  5. Step 5: Solve for x
    x = 552,703,033,600/338,506
  6. Step 6: Final answer
    x = 1,632,771.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.