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Finding the Third Proportional to 210,043 and 318,948

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Solution

The third proportional to 210,043 and 318,948 is: 484,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,043 : 318,948 = 318,948 : x
  2. Step 2: Convert to fraction form
    210,043/318,948 = 318,948/x
  3. Step 3: Cross multiply
    210,043x = 318,948 × 318,948
  4. Step 4: Simplify right side
    210,043x = 101,727,826,704
  5. Step 5: Solve for x
    x = 101,727,826,704/210,043
  6. Step 6: Final answer
    x = 484,319.05

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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.