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Finding the Third Proportional to 193,690 and 420,630

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Solution

The third proportional to 193,690 and 420,630 is: 913,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,690 : 420,630 = 420,630 : x
  2. Step 2: Convert to fraction form
    193,690/420,630 = 420,630/x
  3. Step 3: Cross multiply
    193,690x = 420,630 × 420,630
  4. Step 4: Simplify right side
    193,690x = 176,929,596,900
  5. Step 5: Solve for x
    x = 176,929,596,900/193,690
  6. Step 6: Final answer
    x = 913,467.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.