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Finding the Third Proportional to 10,280,071 and 13,645,869

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Solution

The third proportional to 10,280,071 and 13,645,869 is: 18,113,662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280,071 : 13,645,869 = 13,645,869 : x
  2. Step 2: Convert to fraction form
    10,280,071/13,645,869 = 13,645,869/x
  3. Step 3: Cross multiply
    10,280,071x = 13,645,869 × 13,645,869
  4. Step 4: Simplify right side
    10,280,071x = 186,209,740,765,161
  5. Step 5: Solve for x
    x = 186,209,740,765,161/10,280,071
  6. Step 6: Final answer
    x = 18,113,662.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.