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Finding the Third Proportional to 199,710 and 434,412

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Solution

The third proportional to 199,710 and 434,412 is: 944,939.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,710 : 434,412 = 434,412 : x
  2. Step 2: Convert to fraction form
    199,710/434,412 = 434,412/x
  3. Step 3: Cross multiply
    199,710x = 434,412 × 434,412
  4. Step 4: Simplify right side
    199,710x = 188,713,785,744
  5. Step 5: Solve for x
    x = 188,713,785,744/199,710
  6. Step 6: Final answer
    x = 944,939.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.