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Finding the Third Proportional to 302,222 and 423,651

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Solution

The third proportional to 302,222 and 423,651 is: 593,868.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,222 : 423,651 = 423,651 : x
  2. Step 2: Convert to fraction form
    302,222/423,651 = 423,651/x
  3. Step 3: Cross multiply
    302,222x = 423,651 × 423,651
  4. Step 4: Simplify right side
    302,222x = 179,480,169,801
  5. Step 5: Solve for x
    x = 179,480,169,801/302,222
  6. Step 6: Final answer
    x = 593,868.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.