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Finding the Third Proportional to 199,791,795.38 and 421,447,444.88

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Solution

The third proportional to 199,791,795.38 and 421,447,444.88 is: 889,015,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,791,795.38 : 421,447,444.88 = 421,447,444.88 : x
  2. Step 2: Convert to fraction form
    199,791,795.38/421,447,444.88 = 421,447,444.88/x
  3. Step 3: Cross multiply
    199,791,795.38x = 421,447,444.88 × 421,447,444.88
  4. Step 4: Simplify right side
    199,791,795.38x = 177,617,948,791,666,176
  5. Step 5: Solve for x
    x = 177,617,948,791,666,176/199,791,795.38
  6. Step 6: Final answer
    x = 889,015,229.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.