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Finding the Third Proportional to 85,312 and 199,369

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Solution

The third proportional to 85,312 and 199,369 is: 465,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,312 : 199,369 = 199,369 : x
  2. Step 2: Convert to fraction form
    85,312/199,369 = 199,369/x
  3. Step 3: Cross multiply
    85,312x = 199,369 × 199,369
  4. Step 4: Simplify right side
    85,312x = 39,747,998,161
  5. Step 5: Solve for x
    x = 39,747,998,161/85,312
  6. Step 6: Final answer
    x = 465,913.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.