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Finding the Third Proportional to 132,678 and 195,129

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Solution

The third proportional to 132,678 and 195,129 is: 286,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,678 : 195,129 = 195,129 : x
  2. Step 2: Convert to fraction form
    132,678/195,129 = 195,129/x
  3. Step 3: Cross multiply
    132,678x = 195,129 × 195,129
  4. Step 4: Simplify right side
    132,678x = 38,075,326,641
  5. Step 5: Solve for x
    x = 38,075,326,641/132,678
  6. Step 6: Final answer
    x = 286,975.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.