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Finding the Third Proportional to 202,898 and 316,630

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Solution

The third proportional to 202,898 and 316,630 is: 494,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,898 : 316,630 = 316,630 : x
  2. Step 2: Convert to fraction form
    202,898/316,630 = 316,630/x
  3. Step 3: Cross multiply
    202,898x = 316,630 × 316,630
  4. Step 4: Simplify right side
    202,898x = 100,254,556,900
  5. Step 5: Solve for x
    x = 100,254,556,900/202,898
  6. Step 6: Final answer
    x = 494,113.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.