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Finding the Third Proportional to 263,990 and 433,380

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Solution

The third proportional to 263,990 and 433,380 is: 711,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,990 : 433,380 = 433,380 : x
  2. Step 2: Convert to fraction form
    263,990/433,380 = 433,380/x
  3. Step 3: Cross multiply
    263,990x = 433,380 × 433,380
  4. Step 4: Simplify right side
    263,990x = 187,818,224,400
  5. Step 5: Solve for x
    x = 187,818,224,400/263,990
  6. Step 6: Final answer
    x = 711,459.62

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.