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Finding the Third Proportional to 199,658 and 433,002

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Solution

The third proportional to 199,658 and 433,002 is: 939,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,658 : 433,002 = 433,002 : x
  2. Step 2: Convert to fraction form
    199,658/433,002 = 433,002/x
  3. Step 3: Cross multiply
    199,658x = 433,002 × 433,002
  4. Step 4: Simplify right side
    199,658x = 187,490,732,004
  5. Step 5: Solve for x
    x = 187,490,732,004/199,658
  6. Step 6: Final answer
    x = 939,059.45

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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.