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Finding the Third Proportional to 302,131 and 658,185

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Solution

The third proportional to 302,131 and 658,185 is: 1,433,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,131 : 658,185 = 658,185 : x
  2. Step 2: Convert to fraction form
    302,131/658,185 = 658,185/x
  3. Step 3: Cross multiply
    302,131x = 658,185 × 658,185
  4. Step 4: Simplify right side
    302,131x = 433,207,494,225
  5. Step 5: Solve for x
    x = 433,207,494,225/302,131
  6. Step 6: Final answer
    x = 1,433,839.94

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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.