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Finding the Third Proportional to 199,629 and 432,488

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Solution

The third proportional to 199,629 and 432,488 is: 936,967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,629 : 432,488 = 432,488 : x
  2. Step 2: Convert to fraction form
    199,629/432,488 = 432,488/x
  3. Step 3: Cross multiply
    199,629x = 432,488 × 432,488
  4. Step 4: Simplify right side
    199,629x = 187,045,870,144
  5. Step 5: Solve for x
    x = 187,045,870,144/199,629
  6. Step 6: Final answer
    x = 936,967.43

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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.