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Finding the Third Proportional to 201,447 and 438,480

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Solution

The third proportional to 201,447 and 438,480 is: 954,418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,447 : 438,480 = 438,480 : x
  2. Step 2: Convert to fraction form
    201,447/438,480 = 438,480/x
  3. Step 3: Cross multiply
    201,447x = 438,480 × 438,480
  4. Step 4: Simplify right side
    201,447x = 192,264,710,400
  5. Step 5: Solve for x
    x = 192,264,710,400/201,447
  6. Step 6: Final answer
    x = 954,418.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.