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Finding the Third Proportional to 330,972 and 511,436.25

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Solution

The third proportional to 330,972 and 511,436.25 is: 790,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,972 : 511,436.25 = 511,436.25 : x
  2. Step 2: Convert to fraction form
    330,972/511,436.25 = 511,436.25/x
  3. Step 3: Cross multiply
    330,972x = 511,436.25 × 511,436.25
  4. Step 4: Simplify right side
    330,972x = 261,567,037,814.06
  5. Step 5: Solve for x
    x = 261,567,037,814.06/330,972
  6. Step 6: Final answer
    x = 790,299.60

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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.