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Finding the Third Proportional to 199,454.25 and 432,138

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Solution

The third proportional to 199,454.25 and 432,138 is: 936,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,454.25 : 432,138 = 432,138 : x
  2. Step 2: Convert to fraction form
    199,454.25/432,138 = 432,138/x
  3. Step 3: Cross multiply
    199,454.25x = 432,138 × 432,138
  4. Step 4: Simplify right side
    199,454.25x = 186,743,251,044
  5. Step 5: Solve for x
    x = 186,743,251,044/199,454.25
  6. Step 6: Final answer
    x = 936,271.10

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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.