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Finding the Third Proportional to 263,273 and 513,421

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Solution

The third proportional to 263,273 and 513,421 is: 1,001,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,273 : 513,421 = 513,421 : x
  2. Step 2: Convert to fraction form
    263,273/513,421 = 513,421/x
  3. Step 3: Cross multiply
    263,273x = 513,421 × 513,421
  4. Step 4: Simplify right side
    263,273x = 263,601,123,241
  5. Step 5: Solve for x
    x = 263,601,123,241/263,273
  6. Step 6: Final answer
    x = 1,001,246.32

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.