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Finding the Third Proportional to 403,074 and 879,831

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Solution

The third proportional to 403,074 and 879,831 is: 1,920,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,074 : 879,831 = 879,831 : x
  2. Step 2: Convert to fraction form
    403,074/879,831 = 879,831/x
  3. Step 3: Cross multiply
    403,074x = 879,831 × 879,831
  4. Step 4: Simplify right side
    403,074x = 774,102,588,561
  5. Step 5: Solve for x
    x = 774,102,588,561/403,074
  6. Step 6: Final answer
    x = 1,920,497.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.