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Finding the Third Proportional to 637,000 and 1,380,271

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Solution

The third proportional to 637,000 and 1,380,271 is: 2,990,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,000 : 1,380,271 = 1,380,271 : x
  2. Step 2: Convert to fraction form
    637,000/1,380,271 = 1,380,271/x
  3. Step 3: Cross multiply
    637,000x = 1,380,271 × 1,380,271
  4. Step 4: Simplify right side
    637,000x = 1,905,148,033,441
  5. Step 5: Solve for x
    x = 1,905,148,033,441/637,000
  6. Step 6: Final answer
    x = 2,990,813.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.