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Finding the Third Proportional to 212,931 and 296,064

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Solution

The third proportional to 212,931 and 296,064 is: 411,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,931 : 296,064 = 296,064 : x
  2. Step 2: Convert to fraction form
    212,931/296,064 = 296,064/x
  3. Step 3: Cross multiply
    212,931x = 296,064 × 296,064
  4. Step 4: Simplify right side
    212,931x = 87,653,892,096
  5. Step 5: Solve for x
    x = 87,653,892,096/212,931
  6. Step 6: Final answer
    x = 411,653.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.