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Finding the Third Proportional to 159,890 and 346,276

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Solution

The third proportional to 159,890 and 346,276 is: 749,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,890 : 346,276 = 346,276 : x
  2. Step 2: Convert to fraction form
    159,890/346,276 = 346,276/x
  3. Step 3: Cross multiply
    159,890x = 346,276 × 346,276
  4. Step 4: Simplify right side
    159,890x = 119,907,068,176
  5. Step 5: Solve for x
    x = 119,907,068,176/159,890
  6. Step 6: Final answer
    x = 749,934.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.