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Finding the Third Proportional to 132,321 and 310,020

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Solution

The third proportional to 132,321 and 310,020 is: 726,357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,321 : 310,020 = 310,020 : x
  2. Step 2: Convert to fraction form
    132,321/310,020 = 310,020/x
  3. Step 3: Cross multiply
    132,321x = 310,020 × 310,020
  4. Step 4: Simplify right side
    132,321x = 96,112,400,400
  5. Step 5: Solve for x
    x = 96,112,400,400/132,321
  6. Step 6: Final answer
    x = 726,357.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.