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Finding the Third Proportional to 199,456 and 432,143

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Solution

The third proportional to 199,456 and 432,143 is: 936,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,456 : 432,143 = 432,143 : x
  2. Step 2: Convert to fraction form
    199,456/432,143 = 432,143/x
  3. Step 3: Cross multiply
    199,456x = 432,143 × 432,143
  4. Step 4: Simplify right side
    199,456x = 186,747,572,449
  5. Step 5: Solve for x
    x = 186,747,572,449/199,456
  6. Step 6: Final answer
    x = 936,284.56

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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.