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Finding the Third Proportional to 316,629 and 646,173

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Solution

The third proportional to 316,629 and 646,173 is: 1,318,702.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,629 : 646,173 = 646,173 : x
  2. Step 2: Convert to fraction form
    316,629/646,173 = 646,173/x
  3. Step 3: Cross multiply
    316,629x = 646,173 × 646,173
  4. Step 4: Simplify right side
    316,629x = 417,539,545,929
  5. Step 5: Solve for x
    x = 417,539,545,929/316,629
  6. Step 6: Final answer
    x = 1,318,702.79

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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.