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Finding the Third Proportional to 289,512 and 645,444

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Solution

The third proportional to 289,512 and 645,444 is: 1,438,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,512 : 645,444 = 645,444 : x
  2. Step 2: Convert to fraction form
    289,512/645,444 = 645,444/x
  3. Step 3: Cross multiply
    289,512x = 645,444 × 645,444
  4. Step 4: Simplify right side
    289,512x = 416,597,957,136
  5. Step 5: Solve for x
    x = 416,597,957,136/289,512
  6. Step 6: Final answer
    x = 1,438,966.11

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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.