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Finding the Third Proportional to 202,860 and 315,347

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Solution

The third proportional to 202,860 and 315,347 is: 490,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,860 : 315,347 = 315,347 : x
  2. Step 2: Convert to fraction form
    202,860/315,347 = 315,347/x
  3. Step 3: Cross multiply
    202,860x = 315,347 × 315,347
  4. Step 4: Simplify right side
    202,860x = 99,443,730,409
  5. Step 5: Solve for x
    x = 99,443,730,409/202,860
  6. Step 6: Final answer
    x = 490,208.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.