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Finding the Third Proportional to 202,875 and 318,240

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Solution

The third proportional to 202,875 and 318,240 is: 499,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,875 : 318,240 = 318,240 : x
  2. Step 2: Convert to fraction form
    202,875/318,240 = 318,240/x
  3. Step 3: Cross multiply
    202,875x = 318,240 × 318,240
  4. Step 4: Simplify right side
    202,875x = 101,276,697,600
  5. Step 5: Solve for x
    x = 101,276,697,600/202,875
  6. Step 6: Final answer
    x = 499,207.38

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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.