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Finding the Third Proportional to 199,826 and 431,639

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Solution

The third proportional to 199,826 and 431,639 is: 932,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,826 : 431,639 = 431,639 : x
  2. Step 2: Convert to fraction form
    199,826/431,639 = 431,639/x
  3. Step 3: Cross multiply
    199,826x = 431,639 × 431,639
  4. Step 4: Simplify right side
    199,826x = 186,312,226,321
  5. Step 5: Solve for x
    x = 186,312,226,321/199,826
  6. Step 6: Final answer
    x = 932,372.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.