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Finding the Third Proportional to 297,808 and 642,271

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Solution

The third proportional to 297,808 and 642,271 is: 1,385,161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,808 : 642,271 = 642,271 : x
  2. Step 2: Convert to fraction form
    297,808/642,271 = 642,271/x
  3. Step 3: Cross multiply
    297,808x = 642,271 × 642,271
  4. Step 4: Simplify right side
    297,808x = 412,512,037,441
  5. Step 5: Solve for x
    x = 412,512,037,441/297,808
  6. Step 6: Final answer
    x = 1,385,161.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.