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Finding the Third Proportional to 316,364 and 658,972

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Solution

The third proportional to 316,364 and 658,972 is: 1,372,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,364 : 658,972 = 658,972 : x
  2. Step 2: Convert to fraction form
    316,364/658,972 = 658,972/x
  3. Step 3: Cross multiply
    316,364x = 658,972 × 658,972
  4. Step 4: Simplify right side
    316,364x = 434,244,096,784
  5. Step 5: Solve for x
    x = 434,244,096,784/316,364
  6. Step 6: Final answer
    x = 1,372,609.07

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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.