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Finding the Third Proportional to 132,930 and 204,323.63

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Solution

The third proportional to 132,930 and 204,323.63 is: 314,061.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,930 : 204,323.63 = 204,323.63 : x
  2. Step 2: Convert to fraction form
    132,930/204,323.63 = 204,323.63/x
  3. Step 3: Cross multiply
    132,930x = 204,323.63 × 204,323.63
  4. Step 4: Simplify right side
    132,930x = 41,748,143,733.14
  5. Step 5: Solve for x
    x = 41,748,143,733.14/132,930
  6. Step 6: Final answer
    x = 314,061.11

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.