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Finding the Third Proportional to 283,789 and 423,223

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Solution

The third proportional to 283,789 and 423,223 is: 631,165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,789 : 423,223 = 423,223 : x
  2. Step 2: Convert to fraction form
    283,789/423,223 = 423,223/x
  3. Step 3: Cross multiply
    283,789x = 423,223 × 423,223
  4. Step 4: Simplify right side
    283,789x = 179,117,707,729
  5. Step 5: Solve for x
    x = 179,117,707,729/283,789
  6. Step 6: Final answer
    x = 631,165.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.