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Finding the Third Proportional to 403,502 and 873,802

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Solution

The third proportional to 403,502 and 873,802 is: 1,892,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,502 : 873,802 = 873,802 : x
  2. Step 2: Convert to fraction form
    403,502/873,802 = 873,802/x
  3. Step 3: Cross multiply
    403,502x = 873,802 × 873,802
  4. Step 4: Simplify right side
    403,502x = 763,529,935,204
  5. Step 5: Solve for x
    x = 763,529,935,204/403,502
  6. Step 6: Final answer
    x = 1,892,258.12

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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.