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Finding the Third Proportional to 132,935 and 204,332

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Solution

The third proportional to 132,935 and 204,332 is: 314,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,935 : 204,332 = 204,332 : x
  2. Step 2: Convert to fraction form
    132,935/204,332 = 204,332/x
  3. Step 3: Cross multiply
    132,935x = 204,332 × 204,332
  4. Step 4: Simplify right side
    132,935x = 41,751,566,224
  5. Step 5: Solve for x
    x = 41,751,566,224/132,935
  6. Step 6: Final answer
    x = 314,075.05

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Why These Related Problems?

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