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Finding the Third Proportional to 284,328 and 612,719

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Solution

The third proportional to 284,328 and 612,719 is: 1,320,392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,328 : 612,719 = 612,719 : x
  2. Step 2: Convert to fraction form
    284,328/612,719 = 612,719/x
  3. Step 3: Cross multiply
    284,328x = 612,719 × 612,719
  4. Step 4: Simplify right side
    284,328x = 375,424,572,961
  5. Step 5: Solve for x
    x = 375,424,572,961/284,328
  6. Step 6: Final answer
    x = 1,320,392.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.