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Finding the Third Proportional to 316,617 and 646,152

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Solution

The third proportional to 316,617 and 646,152 is: 1,318,667.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,617 : 646,152 = 646,152 : x
  2. Step 2: Convert to fraction form
    316,617/646,152 = 646,152/x
  3. Step 3: Cross multiply
    316,617x = 646,152 × 646,152
  4. Step 4: Simplify right side
    316,617x = 417,512,407,104
  5. Step 5: Solve for x
    x = 417,512,407,104/316,617
  6. Step 6: Final answer
    x = 1,318,667.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.