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Finding the Third Proportional to 946,246.50 and 2,102,445

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Solution

The third proportional to 946,246.50 and 2,102,445 is: 4,671,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,246.50 : 2,102,445 = 2,102,445 : x
  2. Step 2: Convert to fraction form
    946,246.50/2,102,445 = 2,102,445/x
  3. Step 3: Cross multiply
    946,246.50x = 2,102,445 × 2,102,445
  4. Step 4: Simplify right side
    946,246.50x = 4,420,274,978,025
  5. Step 5: Solve for x
    x = 4,420,274,978,025/946,246.50
  6. Step 6: Final answer
    x = 4,671,377.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.