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Finding the Third Proportional to 315,172 and 656,936

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Solution

The third proportional to 315,172 and 656,936 is: 1,369,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,172 : 656,936 = 656,936 : x
  2. Step 2: Convert to fraction form
    315,172/656,936 = 656,936/x
  3. Step 3: Cross multiply
    315,172x = 656,936 × 656,936
  4. Step 4: Simplify right side
    315,172x = 431,564,908,096
  5. Step 5: Solve for x
    x = 431,564,908,096/315,172
  6. Step 6: Final answer
    x = 1,369,299.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.