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Finding the Third Proportional to 191,640 and 219,319

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Solution

The third proportional to 191,640 and 219,319 is: 250,995.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,640 : 219,319 = 219,319 : x
  2. Step 2: Convert to fraction form
    191,640/219,319 = 219,319/x
  3. Step 3: Cross multiply
    191,640x = 219,319 × 219,319
  4. Step 4: Simplify right side
    191,640x = 48,100,823,761
  5. Step 5: Solve for x
    x = 48,100,823,761/191,640
  6. Step 6: Final answer
    x = 250,995.74

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.