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Finding the Third Proportional to 284,148 and 379,080

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Solution

The third proportional to 284,148 and 379,080 is: 505,728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,148 : 379,080 = 379,080 : x
  2. Step 2: Convert to fraction form
    284,148/379,080 = 379,080/x
  3. Step 3: Cross multiply
    284,148x = 379,080 × 379,080
  4. Step 4: Simplify right side
    284,148x = 143,701,646,400
  5. Step 5: Solve for x
    x = 143,701,646,400/284,148
  6. Step 6: Final answer
    x = 505,728.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.