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Finding the Third Proportional to 209,707 and 456,278

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Solution

The third proportional to 209,707 and 456,278 is: 992,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,707 : 456,278 = 456,278 : x
  2. Step 2: Convert to fraction form
    209,707/456,278 = 456,278/x
  3. Step 3: Cross multiply
    209,707x = 456,278 × 456,278
  4. Step 4: Simplify right side
    209,707x = 208,189,613,284
  5. Step 5: Solve for x
    x = 208,189,613,284/209,707
  6. Step 6: Final answer
    x = 992,764.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.