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Finding the Third Proportional to 405,380 and 938,480

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Solution

The third proportional to 405,380 and 938,480 is: 2,172,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,380 : 938,480 = 938,480 : x
  2. Step 2: Convert to fraction form
    405,380/938,480 = 938,480/x
  3. Step 3: Cross multiply
    405,380x = 938,480 × 938,480
  4. Step 4: Simplify right side
    405,380x = 880,744,710,400
  5. Step 5: Solve for x
    x = 880,744,710,400/405,380
  6. Step 6: Final answer
    x = 2,172,639.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.