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Finding the Third Proportional to 199,472 and 436,480

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Solution

The third proportional to 199,472 and 436,480 is: 955,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,472 : 436,480 = 436,480 : x
  2. Step 2: Convert to fraction form
    199,472/436,480 = 436,480/x
  3. Step 3: Cross multiply
    199,472x = 436,480 × 436,480
  4. Step 4: Simplify right side
    199,472x = 190,514,790,400
  5. Step 5: Solve for x
    x = 190,514,790,400/199,472
  6. Step 6: Final answer
    x = 955,095.40

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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.