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Finding the Third Proportional to 114,607 and 172,127

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Solution

The third proportional to 114,607 and 172,127 is: 258,515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,607 : 172,127 = 172,127 : x
  2. Step 2: Convert to fraction form
    114,607/172,127 = 172,127/x
  3. Step 3: Cross multiply
    114,607x = 172,127 × 172,127
  4. Step 4: Simplify right side
    114,607x = 29,627,704,129
  5. Step 5: Solve for x
    x = 29,627,704,129/114,607
  6. Step 6: Final answer
    x = 258,515.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.