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Finding the Third Proportional to 128,512 and 284,672

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Solution

The third proportional to 128,512 and 284,672 is: 630,588.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,512 : 284,672 = 284,672 : x
  2. Step 2: Convert to fraction form
    128,512/284,672 = 284,672/x
  3. Step 3: Cross multiply
    128,512x = 284,672 × 284,672
  4. Step 4: Simplify right side
    128,512x = 81,038,147,584
  5. Step 5: Solve for x
    x = 81,038,147,584/128,512
  6. Step 6: Final answer
    x = 630,588.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.