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Finding the Third Proportional to 202,914 and 318,303

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Solution

The third proportional to 202,914 and 318,303 is: 499,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,914 : 318,303 = 318,303 : x
  2. Step 2: Convert to fraction form
    202,914/318,303 = 318,303/x
  3. Step 3: Cross multiply
    202,914x = 318,303 × 318,303
  4. Step 4: Simplify right side
    202,914x = 101,316,799,809
  5. Step 5: Solve for x
    x = 101,316,799,809/202,914
  6. Step 6: Final answer
    x = 499,309.07

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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.