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Finding the Third Proportional to 338,292.78 and 700,564.73

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Solution

The third proportional to 338,292.78 and 700,564.73 is: 1,450,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,292.78 : 700,564.73 = 700,564.73 : x
  2. Step 2: Convert to fraction form
    338,292.78/700,564.73 = 700,564.73/x
  3. Step 3: Cross multiply
    338,292.78x = 700,564.73 × 700,564.73
  4. Step 4: Simplify right side
    338,292.78x = 490,790,938,840.14
  5. Step 5: Solve for x
    x = 490,790,938,840.14/338,292.78
  6. Step 6: Final answer
    x = 1,450,787.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.