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Finding the Third Proportional to 156,690 and 369,819

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Solution

The third proportional to 156,690 and 369,819 is: 872,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,690 : 369,819 = 369,819 : x
  2. Step 2: Convert to fraction form
    156,690/369,819 = 369,819/x
  3. Step 3: Cross multiply
    156,690x = 369,819 × 369,819
  4. Step 4: Simplify right side
    156,690x = 136,766,092,761
  5. Step 5: Solve for x
    x = 136,766,092,761/156,690
  6. Step 6: Final answer
    x = 872,845.06

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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.