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Finding the Third Proportional to 283,765 and 423,187

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Solution

The third proportional to 283,765 and 423,187 is: 631,111.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,765 : 423,187 = 423,187 : x
  2. Step 2: Convert to fraction form
    283,765/423,187 = 423,187/x
  3. Step 3: Cross multiply
    283,765x = 423,187 × 423,187
  4. Step 4: Simplify right side
    283,765x = 179,087,236,969
  5. Step 5: Solve for x
    x = 179,087,236,969/283,765
  6. Step 6: Final answer
    x = 631,111.08

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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.