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Finding the Third Proportional to 132,273 and 202,682.25

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Solution

The third proportional to 132,273 and 202,682.25 is: 310,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,273 : 202,682.25 = 202,682.25 : x
  2. Step 2: Convert to fraction form
    132,273/202,682.25 = 202,682.25/x
  3. Step 3: Cross multiply
    132,273x = 202,682.25 × 202,682.25
  4. Step 4: Simplify right side
    132,273x = 41,080,094,465.06
  5. Step 5: Solve for x
    x = 41,080,094,465.06/132,273
  6. Step 6: Final answer
    x = 310,570.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.