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Finding the Third Proportional to 156,970 and 208,887

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Solution

The third proportional to 156,970 and 208,887 is: 277,975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,970 : 208,887 = 208,887 : x
  2. Step 2: Convert to fraction form
    156,970/208,887 = 208,887/x
  3. Step 3: Cross multiply
    156,970x = 208,887 × 208,887
  4. Step 4: Simplify right side
    156,970x = 43,633,778,769
  5. Step 5: Solve for x
    x = 43,633,778,769/156,970
  6. Step 6: Final answer
    x = 277,975.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.