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Finding the Third Proportional to 202,422 and 321,655.50

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Solution

The third proportional to 202,422 and 321,655.50 is: 511,121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,422 : 321,655.50 = 321,655.50 : x
  2. Step 2: Convert to fraction form
    202,422/321,655.50 = 321,655.50/x
  3. Step 3: Cross multiply
    202,422x = 321,655.50 × 321,655.50
  4. Step 4: Simplify right side
    202,422x = 103,462,260,680.25
  5. Step 5: Solve for x
    x = 103,462,260,680.25/202,422
  6. Step 6: Final answer
    x = 511,121.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.