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Finding the Third Proportional to 288,172 and 463,015

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Solution

The third proportional to 288,172 and 463,015 is: 743,940.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,172 : 463,015 = 463,015 : x
  2. Step 2: Convert to fraction form
    288,172/463,015 = 463,015/x
  3. Step 3: Cross multiply
    288,172x = 463,015 × 463,015
  4. Step 4: Simplify right side
    288,172x = 214,382,890,225
  5. Step 5: Solve for x
    x = 214,382,890,225/288,172
  6. Step 6: Final answer
    x = 743,940.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.