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Finding the Third Proportional to 202,430 and 302,530

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Solution

The third proportional to 202,430 and 302,530 is: 452,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,430 : 302,530 = 302,530 : x
  2. Step 2: Convert to fraction form
    202,430/302,530 = 302,530/x
  3. Step 3: Cross multiply
    202,430x = 302,530 × 302,530
  4. Step 4: Simplify right side
    202,430x = 91,524,400,900
  5. Step 5: Solve for x
    x = 91,524,400,900/202,430
  6. Step 6: Final answer
    x = 452,128.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.