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Finding the Third Proportional to 297,991 and 649,532

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Solution

The third proportional to 297,991 and 649,532 is: 1,415,787.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,991 : 649,532 = 649,532 : x
  2. Step 2: Convert to fraction form
    297,991/649,532 = 649,532/x
  3. Step 3: Cross multiply
    297,991x = 649,532 × 649,532
  4. Step 4: Simplify right side
    297,991x = 421,891,819,024
  5. Step 5: Solve for x
    x = 421,891,819,024/297,991
  6. Step 6: Final answer
    x = 1,415,787.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.