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Finding the Third Proportional to 85,220 and 133,392

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Solution

The third proportional to 85,220 and 133,392 is: 208,794.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,220 : 133,392 = 133,392 : x
  2. Step 2: Convert to fraction form
    85,220/133,392 = 133,392/x
  3. Step 3: Cross multiply
    85,220x = 133,392 × 133,392
  4. Step 4: Simplify right side
    85,220x = 17,793,425,664
  5. Step 5: Solve for x
    x = 17,793,425,664/85,220
  6. Step 6: Final answer
    x = 208,794.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.