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Finding the Third Proportional to 402,215 and 794,278

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Solution

The third proportional to 402,215 and 794,278 is: 1,568,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,215 : 794,278 = 794,278 : x
  2. Step 2: Convert to fraction form
    402,215/794,278 = 794,278/x
  3. Step 3: Cross multiply
    402,215x = 794,278 × 794,278
  4. Step 4: Simplify right side
    402,215x = 630,877,541,284
  5. Step 5: Solve for x
    x = 630,877,541,284/402,215
  6. Step 6: Final answer
    x = 1,568,508.24

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.