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Finding the Third Proportional to 199,564 and 433,575

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Solution

The third proportional to 199,564 and 433,575 is: 941,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,564 : 433,575 = 433,575 : x
  2. Step 2: Convert to fraction form
    199,564/433,575 = 433,575/x
  3. Step 3: Cross multiply
    199,564x = 433,575 × 433,575
  4. Step 4: Simplify right side
    199,564x = 187,987,280,625
  5. Step 5: Solve for x
    x = 187,987,280,625/199,564
  6. Step 6: Final answer
    x = 941,989.94

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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.