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Finding the Third Proportional to 281,236 and 663,482

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Solution

The third proportional to 281,236 and 663,482 is: 1,565,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,236 : 663,482 = 663,482 : x
  2. Step 2: Convert to fraction form
    281,236/663,482 = 663,482/x
  3. Step 3: Cross multiply
    281,236x = 663,482 × 663,482
  4. Step 4: Simplify right side
    281,236x = 440,208,364,324
  5. Step 5: Solve for x
    x = 440,208,364,324/281,236
  6. Step 6: Final answer
    x = 1,565,263.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.