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Finding the Third Proportional to 8,724,678 and 13,323,213

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Solution

The third proportional to 8,724,678 and 13,323,213 is: 20,345,507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724,678 : 13,323,213 = 13,323,213 : x
  2. Step 2: Convert to fraction form
    8,724,678/13,323,213 = 13,323,213/x
  3. Step 3: Cross multiply
    8,724,678x = 13,323,213 × 13,323,213
  4. Step 4: Simplify right side
    8,724,678x = 177,508,004,643,369
  5. Step 5: Solve for x
    x = 177,508,004,643,369/8,724,678
  6. Step 6: Final answer
    x = 20,345,507.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.