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Finding the Third Proportional to 196,826 and 431,480

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Solution

The third proportional to 196,826 and 431,480 is: 945,886.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,826 : 431,480 = 431,480 : x
  2. Step 2: Convert to fraction form
    196,826/431,480 = 431,480/x
  3. Step 3: Cross multiply
    196,826x = 431,480 × 431,480
  4. Step 4: Simplify right side
    196,826x = 186,174,990,400
  5. Step 5: Solve for x
    x = 186,174,990,400/196,826
  6. Step 6: Final answer
    x = 945,886.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.