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Finding the Third Proportional to 8,109,639 and 11,337,772

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Solution

The third proportional to 8,109,639 and 11,337,772 is: 15,850,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109,639 : 11,337,772 = 11,337,772 : x
  2. Step 2: Convert to fraction form
    8,109,639/11,337,772 = 11,337,772/x
  3. Step 3: Cross multiply
    8,109,639x = 11,337,772 × 11,337,772
  4. Step 4: Simplify right side
    8,109,639x = 128,545,073,923,984
  5. Step 5: Solve for x
    x = 128,545,073,923,984/8,109,639
  6. Step 6: Final answer
    x = 15,850,899.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.