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Finding the Third Proportional to 202,448 and 438,280

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Solution

The third proportional to 202,448 and 438,280 is: 948,833.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,448 : 438,280 = 438,280 : x
  2. Step 2: Convert to fraction form
    202,448/438,280 = 438,280/x
  3. Step 3: Cross multiply
    202,448x = 438,280 × 438,280
  4. Step 4: Simplify right side
    202,448x = 192,089,358,400
  5. Step 5: Solve for x
    x = 192,089,358,400/202,448
  6. Step 6: Final answer
    x = 948,833.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.