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Finding the Third Proportional to 6,418,548 and 8,742,015

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Solution

The third proportional to 6,418,548 and 8,742,015 is: 11,906,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418,548 : 8,742,015 = 8,742,015 : x
  2. Step 2: Convert to fraction form
    6,418,548/8,742,015 = 8,742,015/x
  3. Step 3: Cross multiply
    6,418,548x = 8,742,015 × 8,742,015
  4. Step 4: Simplify right side
    6,418,548x = 76,422,826,260,225
  5. Step 5: Solve for x
    x = 76,422,826,260,225/6,418,548
  6. Step 6: Final answer
    x = 11,906,559.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.