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Finding the Third Proportional to 159,090 and 346,218

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Solution

The third proportional to 159,090 and 346,218 is: 753,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,090 : 346,218 = 346,218 : x
  2. Step 2: Convert to fraction form
    159,090/346,218 = 346,218/x
  3. Step 3: Cross multiply
    159,090x = 346,218 × 346,218
  4. Step 4: Simplify right side
    159,090x = 119,866,903,524
  5. Step 5: Solve for x
    x = 119,866,903,524/159,090
  6. Step 6: Final answer
    x = 753,453.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.