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Finding the Third Proportional to 318,848,086 and 686,597,492

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Solution

The third proportional to 318,848,086 and 686,597,492 is: 1,478,497,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,848,086 : 686,597,492 = 686,597,492 : x
  2. Step 2: Convert to fraction form
    318,848,086/686,597,492 = 686,597,492/x
  3. Step 3: Cross multiply
    318,848,086x = 686,597,492 × 686,597,492
  4. Step 4: Simplify right side
    318,848,086x = 471,416,116,020,690,048
  5. Step 5: Solve for x
    x = 471,416,116,020,690,048/318,848,086
  6. Step 6: Final answer
    x = 1,478,497,556.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.