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Finding the Third Proportional to 289,307 and 645,682

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Solution

The third proportional to 289,307 and 645,682 is: 1,441,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,307 : 645,682 = 645,682 : x
  2. Step 2: Convert to fraction form
    289,307/645,682 = 645,682/x
  3. Step 3: Cross multiply
    289,307x = 645,682 × 645,682
  4. Step 4: Simplify right side
    289,307x = 416,905,245,124
  5. Step 5: Solve for x
    x = 416,905,245,124/289,307
  6. Step 6: Final answer
    x = 1,441,047.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.