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Finding the Third Proportional to 158,366,909 and 331,213,378

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Solution

The third proportional to 158,366,909 and 331,213,378 is: 692,709,748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,366,909 : 331,213,378 = 331,213,378 : x
  2. Step 2: Convert to fraction form
    158,366,909/331,213,378 = 331,213,378/x
  3. Step 3: Cross multiply
    158,366,909x = 331,213,378 × 331,213,378
  4. Step 4: Simplify right side
    158,366,909x = 109,702,301,766,170,880
  5. Step 5: Solve for x
    x = 109,702,301,766,170,880/158,366,909
  6. Step 6: Final answer
    x = 692,709,748.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.