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Finding the Third Proportional to 405,346.78 and 938,279.95

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Solution

The third proportional to 405,346.78 and 938,279.95 is: 2,171,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,346.78 : 938,279.95 = 938,279.95 : x
  2. Step 2: Convert to fraction form
    405,346.78/938,279.95 = 938,279.95/x
  3. Step 3: Cross multiply
    405,346.78x = 938,279.95 × 938,279.95
  4. Step 4: Simplify right side
    405,346.78x = 880,369,270,436.25
  5. Step 5: Solve for x
    x = 880,369,270,436.25/405,346.78
  6. Step 6: Final answer
    x = 2,171,891.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.