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Finding the Third Proportional to 310,719 and 673,278

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Solution

The third proportional to 310,719 and 673,278 is: 1,458,884.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,719 : 673,278 = 673,278 : x
  2. Step 2: Convert to fraction form
    310,719/673,278 = 673,278/x
  3. Step 3: Cross multiply
    310,719x = 673,278 × 673,278
  4. Step 4: Simplify right side
    310,719x = 453,303,265,284
  5. Step 5: Solve for x
    x = 453,303,265,284/310,719
  6. Step 6: Final answer
    x = 1,458,884.93

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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.