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Finding the Third Proportional to 330,994 and 511,471

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Solution

The third proportional to 330,994 and 511,471 is: 790,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,994 : 511,471 = 511,471 : x
  2. Step 2: Convert to fraction form
    330,994/511,471 = 511,471/x
  3. Step 3: Cross multiply
    330,994x = 511,471 × 511,471
  4. Step 4: Simplify right side
    330,994x = 261,602,583,841
  5. Step 5: Solve for x
    x = 261,602,583,841/330,994
  6. Step 6: Final answer
    x = 790,354.46

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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.