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Finding the Third Proportional to 415,137 and 879,636

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Solution

The third proportional to 415,137 and 879,636 is: 1,863,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,137 : 879,636 = 879,636 : x
  2. Step 2: Convert to fraction form
    415,137/879,636 = 879,636/x
  3. Step 3: Cross multiply
    415,137x = 879,636 × 879,636
  4. Step 4: Simplify right side
    415,137x = 773,759,492,496
  5. Step 5: Solve for x
    x = 773,759,492,496/415,137
  6. Step 6: Final answer
    x = 1,863,865.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.