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Finding the Third Proportional to 21,322,587.75 and 31,184,199

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Solution

The third proportional to 21,322,587.75 and 31,184,199 is: 45,606,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,322,587.75 : 31,184,199 = 31,184,199 : x
  2. Step 2: Convert to fraction form
    21,322,587.75/31,184,199 = 31,184,199/x
  3. Step 3: Cross multiply
    21,322,587.75x = 31,184,199 × 31,184,199
  4. Step 4: Simplify right side
    21,322,587.75x = 972,454,267,271,601
  5. Step 5: Solve for x
    x = 972,454,267,271,601/21,322,587.75
  6. Step 6: Final answer
    x = 45,606,765.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.