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Finding the Third Proportional to 334,156 and 511,820

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Solution

The third proportional to 334,156 and 511,820 is: 783,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,156 : 511,820 = 511,820 : x
  2. Step 2: Convert to fraction form
    334,156/511,820 = 511,820/x
  3. Step 3: Cross multiply
    334,156x = 511,820 × 511,820
  4. Step 4: Simplify right side
    334,156x = 261,959,712,400
  5. Step 5: Solve for x
    x = 261,959,712,400/334,156
  6. Step 6: Final answer
    x = 783,944.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.