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Finding the Third Proportional to 874,418 and 1,286,621

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Solution

The third proportional to 874,418 and 1,286,621 is: 1,893,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,418 : 1,286,621 = 1,286,621 : x
  2. Step 2: Convert to fraction form
    874,418/1,286,621 = 1,286,621/x
  3. Step 3: Cross multiply
    874,418x = 1,286,621 × 1,286,621
  4. Step 4: Simplify right side
    874,418x = 1,655,393,597,641
  5. Step 5: Solve for x
    x = 1,655,393,597,641/874,418
  6. Step 6: Final answer
    x = 1,893,137.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.