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Finding the Third Proportional to 298,263 and 631,074

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Solution

The third proportional to 298,263 and 631,074 is: 1,335,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,263 : 631,074 = 631,074 : x
  2. Step 2: Convert to fraction form
    298,263/631,074 = 631,074/x
  3. Step 3: Cross multiply
    298,263x = 631,074 × 631,074
  4. Step 4: Simplify right side
    298,263x = 398,254,393,476
  5. Step 5: Solve for x
    x = 398,254,393,476/298,263
  6. Step 6: Final answer
    x = 1,335,245.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.