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Finding the Third Proportional to 403,980 and 874,818

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Solution

The third proportional to 403,980 and 874,818 is: 1,894,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,980 : 874,818 = 874,818 : x
  2. Step 2: Convert to fraction form
    403,980/874,818 = 874,818/x
  3. Step 3: Cross multiply
    403,980x = 874,818 × 874,818
  4. Step 4: Simplify right side
    403,980x = 765,306,533,124
  5. Step 5: Solve for x
    x = 765,306,533,124/403,980
  6. Step 6: Final answer
    x = 1,894,416.88

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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.