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Finding the Third Proportional to 148,781 and 351,157

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Solution

The third proportional to 148,781 and 351,157 is: 828,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,781 : 351,157 = 351,157 : x
  2. Step 2: Convert to fraction form
    148,781/351,157 = 351,157/x
  3. Step 3: Cross multiply
    148,781x = 351,157 × 351,157
  4. Step 4: Simplify right side
    148,781x = 123,311,238,649
  5. Step 5: Solve for x
    x = 123,311,238,649/148,781
  6. Step 6: Final answer
    x = 828,810.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.