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Finding the Third Proportional to 195,431,656.50 and 420,889,189.50

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Solution

The third proportional to 195,431,656.50 and 420,889,189.50 is: 906,443,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,431,656.50 : 420,889,189.50 = 420,889,189.50 : x
  2. Step 2: Convert to fraction form
    195,431,656.50/420,889,189.50 = 420,889,189.50/x
  3. Step 3: Cross multiply
    195,431,656.50x = 420,889,189.50 × 420,889,189.50
  4. Step 4: Simplify right side
    195,431,656.50x = 177,147,709,837,966,912
  5. Step 5: Solve for x
    x = 177,147,709,837,966,912/195,431,656.50
  6. Step 6: Final answer
    x = 906,443,270.30

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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.