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Finding the Third Proportional to 235,585 and 511,318

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Solution

The third proportional to 235,585 and 511,318 is: 1,109,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,585 : 511,318 = 511,318 : x
  2. Step 2: Convert to fraction form
    235,585/511,318 = 511,318/x
  3. Step 3: Cross multiply
    235,585x = 511,318 × 511,318
  4. Step 4: Simplify right side
    235,585x = 261,446,097,124
  5. Step 5: Solve for x
    x = 261,446,097,124/235,585
  6. Step 6: Final answer
    x = 1,109,773.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.