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Finding the Third Proportional to 52,129 and 111,639

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Solution

The third proportional to 52,129 and 111,639 is: 239,085.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,129 : 111,639 = 111,639 : x
  2. Step 2: Convert to fraction form
    52,129/111,639 = 111,639/x
  3. Step 3: Cross multiply
    52,129x = 111,639 × 111,639
  4. Step 4: Simplify right side
    52,129x = 12,463,266,321
  5. Step 5: Solve for x
    x = 12,463,266,321/52,129
  6. Step 6: Final answer
    x = 239,085.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.