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Finding the Third Proportional to 316,186 and 685,278

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Solution

The third proportional to 316,186 and 685,278 is: 1,485,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,186 : 685,278 = 685,278 : x
  2. Step 2: Convert to fraction form
    316,186/685,278 = 685,278/x
  3. Step 3: Cross multiply
    316,186x = 685,278 × 685,278
  4. Step 4: Simplify right side
    316,186x = 469,605,937,284
  5. Step 5: Solve for x
    x = 469,605,937,284/316,186
  6. Step 6: Final answer
    x = 1,485,220.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.