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Finding the Third Proportional to 8,214,072 and 12,769,128

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Solution

The third proportional to 8,214,072 and 12,769,128 is: 19,850,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214,072 : 12,769,128 = 12,769,128 : x
  2. Step 2: Convert to fraction form
    8,214,072/12,769,128 = 12,769,128/x
  3. Step 3: Cross multiply
    8,214,072x = 12,769,128 × 12,769,128
  4. Step 4: Simplify right side
    8,214,072x = 163,050,629,880,384
  5. Step 5: Solve for x
    x = 163,050,629,880,384/8,214,072
  6. Step 6: Final answer
    x = 19,850,158.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.