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Finding the Third Proportional to 405,378 and 938,342.50

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Solution

The third proportional to 405,378 and 938,342.50 is: 2,172,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,378 : 938,342.50 = 938,342.50 : x
  2. Step 2: Convert to fraction form
    405,378/938,342.50 = 938,342.50/x
  3. Step 3: Cross multiply
    405,378x = 938,342.50 × 938,342.50
  4. Step 4: Simplify right side
    405,378x = 880,486,647,306.25
  5. Step 5: Solve for x
    x = 880,486,647,306.25/405,378
  6. Step 6: Final answer
    x = 2,172,013.89

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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.