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Finding the Third Proportional to 338,460.19 and 743,338.69

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Solution

The third proportional to 338,460.19 and 743,338.69 is: 1,632,547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,460.19 : 743,338.69 = 743,338.69 : x
  2. Step 2: Convert to fraction form
    338,460.19/743,338.69 = 743,338.69/x
  3. Step 3: Cross multiply
    338,460.19x = 743,338.69 × 743,338.69
  4. Step 4: Simplify right side
    338,460.19x = 552,552,404,334.22
  5. Step 5: Solve for x
    x = 552,552,404,334.22/338,460.19
  6. Step 6: Final answer
    x = 1,632,547.71

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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.