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Finding the Third Proportional to 405,838 and 544,422

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Solution

The third proportional to 405,838 and 544,422 is: 730,329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,838 : 544,422 = 544,422 : x
  2. Step 2: Convert to fraction form
    405,838/544,422 = 544,422/x
  3. Step 3: Cross multiply
    405,838x = 544,422 × 544,422
  4. Step 4: Simplify right side
    405,838x = 296,395,314,084
  5. Step 5: Solve for x
    x = 296,395,314,084/405,838
  6. Step 6: Final answer
    x = 730,329.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.