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Finding the Third Proportional to 202,500 and 311,688

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Solution

The third proportional to 202,500 and 311,688 is: 479,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,500 : 311,688 = 311,688 : x
  2. Step 2: Convert to fraction form
    202,500/311,688 = 311,688/x
  3. Step 3: Cross multiply
    202,500x = 311,688 × 311,688
  4. Step 4: Simplify right side
    202,500x = 97,149,409,344
  5. Step 5: Solve for x
    x = 97,149,409,344/202,500
  6. Step 6: Final answer
    x = 479,750.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.