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Finding the Third Proportional to 210,052 and 318,963

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Solution

The third proportional to 210,052 and 318,963 is: 484,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,052 : 318,963 = 318,963 : x
  2. Step 2: Convert to fraction form
    210,052/318,963 = 318,963/x
  3. Step 3: Cross multiply
    210,052x = 318,963 × 318,963
  4. Step 4: Simplify right side
    210,052x = 101,737,395,369
  5. Step 5: Solve for x
    x = 101,737,395,369/210,052
  6. Step 6: Final answer
    x = 484,343.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.