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Finding the Third Proportional to 231,163,800 and 339,082,340

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Solution

The third proportional to 231,163,800 and 339,082,340 is: 497,382,519.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,163,800 : 339,082,340 = 339,082,340 : x
  2. Step 2: Convert to fraction form
    231,163,800/339,082,340 = 339,082,340/x
  3. Step 3: Cross multiply
    231,163,800x = 339,082,340 × 339,082,340
  4. Step 4: Simplify right side
    231,163,800x = 114,976,833,299,875,600
  5. Step 5: Solve for x
    x = 114,976,833,299,875,600/231,163,800
  6. Step 6: Final answer
    x = 497,382,519.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.