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Finding the Third Proportional to 270,265,069.50 and 421,198,756.03

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Solution

The third proportional to 270,265,069.50 and 421,198,756.03 is: 656,423,682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,265,069.50 : 421,198,756.03 = 421,198,756.03 : x
  2. Step 2: Convert to fraction form
    270,265,069.50/421,198,756.03 = 421,198,756.03/x
  3. Step 3: Cross multiply
    270,265,069.50x = 421,198,756.03 × 421,198,756.03
  4. Step 4: Simplify right side
    270,265,069.50x = 177,408,392,082,264,032
  5. Step 5: Solve for x
    x = 177,408,392,082,264,032/270,265,069.50
  6. Step 6: Final answer
    x = 656,423,682.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.