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Finding the Third Proportional to 118,827 and 172,889

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Solution

The third proportional to 118,827 and 172,889 is: 251,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,827 : 172,889 = 172,889 : x
  2. Step 2: Convert to fraction form
    118,827/172,889 = 172,889/x
  3. Step 3: Cross multiply
    118,827x = 172,889 × 172,889
  4. Step 4: Simplify right side
    118,827x = 29,890,606,321
  5. Step 5: Solve for x
    x = 29,890,606,321/118,827
  6. Step 6: Final answer
    x = 251,547.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.