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Finding the Third Proportional to 295,842 and 646,980

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Solution

The third proportional to 295,842 and 646,980 is: 1,414,887.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,842 : 646,980 = 646,980 : x
  2. Step 2: Convert to fraction form
    295,842/646,980 = 646,980/x
  3. Step 3: Cross multiply
    295,842x = 646,980 × 646,980
  4. Step 4: Simplify right side
    295,842x = 418,583,120,400
  5. Step 5: Solve for x
    x = 418,583,120,400/295,842
  6. Step 6: Final answer
    x = 1,414,887.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.