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Finding the Third Proportional to 902,135 and 1,878,905

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Solution

The third proportional to 902,135 and 1,878,905 is: 3,913,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,135 : 1,878,905 = 1,878,905 : x
  2. Step 2: Convert to fraction form
    902,135/1,878,905 = 1,878,905/x
  3. Step 3: Cross multiply
    902,135x = 1,878,905 × 1,878,905
  4. Step 4: Simplify right side
    902,135x = 3,530,283,999,025
  5. Step 5: Solve for x
    x = 3,530,283,999,025/902,135
  6. Step 6: Final answer
    x = 3,913,254.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.