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Finding the Third Proportional to 4,047,381 and 8,619,120

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Solution

The third proportional to 4,047,381 and 8,619,120 is: 18,354,889.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047,381 : 8,619,120 = 8,619,120 : x
  2. Step 2: Convert to fraction form
    4,047,381/8,619,120 = 8,619,120/x
  3. Step 3: Cross multiply
    4,047,381x = 8,619,120 × 8,619,120
  4. Step 4: Simplify right side
    4,047,381x = 74,289,229,574,400
  5. Step 5: Solve for x
    x = 74,289,229,574,400/4,047,381
  6. Step 6: Final answer
    x = 18,354,889.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.