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Finding the Third Proportional to 331,014 and 511,492

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Solution

The third proportional to 331,014 and 511,492 is: 790,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,014 : 511,492 = 511,492 : x
  2. Step 2: Convert to fraction form
    331,014/511,492 = 511,492/x
  3. Step 3: Cross multiply
    331,014x = 511,492 × 511,492
  4. Step 4: Simplify right side
    331,014x = 261,624,066,064
  5. Step 5: Solve for x
    x = 261,624,066,064/331,014
  6. Step 6: Final answer
    x = 790,371.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.