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Finding the Third Proportional to 202,425 and 321,660

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Solution

The third proportional to 202,425 and 321,660 is: 511,128.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,425 : 321,660 = 321,660 : x
  2. Step 2: Convert to fraction form
    202,425/321,660 = 321,660/x
  3. Step 3: Cross multiply
    202,425x = 321,660 × 321,660
  4. Step 4: Simplify right side
    202,425x = 103,465,155,600
  5. Step 5: Solve for x
    x = 103,465,155,600/202,425
  6. Step 6: Final answer
    x = 511,128.35

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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.