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Finding the Third Proportional to 509,253 and 1,120,197

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Solution

The third proportional to 509,253 and 1,120,197 is: 2,464,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,253 : 1,120,197 = 1,120,197 : x
  2. Step 2: Convert to fraction form
    509,253/1,120,197 = 1,120,197/x
  3. Step 3: Cross multiply
    509,253x = 1,120,197 × 1,120,197
  4. Step 4: Simplify right side
    509,253x = 1,254,841,318,809
  5. Step 5: Solve for x
    x = 1,254,841,318,809/509,253
  6. Step 6: Final answer
    x = 2,464,082.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.