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Finding the Third Proportional to 202,842 and 318,188.25

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Solution

The third proportional to 202,842 and 318,188.25 is: 499,126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,842 : 318,188.25 = 318,188.25 : x
  2. Step 2: Convert to fraction form
    202,842/318,188.25 = 318,188.25/x
  3. Step 3: Cross multiply
    202,842x = 318,188.25 × 318,188.25
  4. Step 4: Simplify right side
    202,842x = 101,243,762,438.06
  5. Step 5: Solve for x
    x = 101,243,762,438.06/202,842
  6. Step 6: Final answer
    x = 499,126.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.