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Finding the Third Proportional to 149,803 and 318,074

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Solution

The third proportional to 149,803 and 318,074 is: 675,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,803 : 318,074 = 318,074 : x
  2. Step 2: Convert to fraction form
    149,803/318,074 = 318,074/x
  3. Step 3: Cross multiply
    149,803x = 318,074 × 318,074
  4. Step 4: Simplify right side
    149,803x = 101,171,069,476
  5. Step 5: Solve for x
    x = 101,171,069,476/149,803
  6. Step 6: Final answer
    x = 675,360.77

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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.