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Finding the Third Proportional to 115,607 and 172,627

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Solution

The third proportional to 115,607 and 172,627 is: 257,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,607 : 172,627 = 172,627 : x
  2. Step 2: Convert to fraction form
    115,607/172,627 = 172,627/x
  3. Step 3: Cross multiply
    115,607x = 172,627 × 172,627
  4. Step 4: Simplify right side
    115,607x = 29,800,081,129
  5. Step 5: Solve for x
    x = 29,800,081,129/115,607
  6. Step 6: Final answer
    x = 257,770.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.