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Finding the Third Proportional to 202,056 and 316,980

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Solution

The third proportional to 202,056 and 316,980 is: 497,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,056 : 316,980 = 316,980 : x
  2. Step 2: Convert to fraction form
    202,056/316,980 = 316,980/x
  3. Step 3: Cross multiply
    202,056x = 316,980 × 316,980
  4. Step 4: Simplify right side
    202,056x = 100,476,320,400
  5. Step 5: Solve for x
    x = 100,476,320,400/202,056
  6. Step 6: Final answer
    x = 497,269.67

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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.