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Finding the Third Proportional to 199,496 and 426,639

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Solution

The third proportional to 199,496 and 426,639 is: 912,403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,496 : 426,639 = 426,639 : x
  2. Step 2: Convert to fraction form
    199,496/426,639 = 426,639/x
  3. Step 3: Cross multiply
    199,496x = 426,639 × 426,639
  4. Step 4: Simplify right side
    199,496x = 182,020,836,321
  5. Step 5: Solve for x
    x = 182,020,836,321/199,496
  6. Step 6: Final answer
    x = 912,403.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.