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Finding the Third Proportional to 316,242 and 680,841

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Solution

The third proportional to 316,242 and 680,841 is: 1,465,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,242 : 680,841 = 680,841 : x
  2. Step 2: Convert to fraction form
    316,242/680,841 = 680,841/x
  3. Step 3: Cross multiply
    316,242x = 680,841 × 680,841
  4. Step 4: Simplify right side
    316,242x = 463,544,467,281
  5. Step 5: Solve for x
    x = 463,544,467,281/316,242
  6. Step 6: Final answer
    x = 1,465,790.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.