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Finding the Third Proportional to 85,904 and 133,594

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Solution

The third proportional to 85,904 and 133,594 is: 207,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,904 : 133,594 = 133,594 : x
  2. Step 2: Convert to fraction form
    85,904/133,594 = 133,594/x
  3. Step 3: Cross multiply
    85,904x = 133,594 × 133,594
  4. Step 4: Simplify right side
    85,904x = 17,847,356,836
  5. Step 5: Solve for x
    x = 17,847,356,836/85,904
  6. Step 6: Final answer
    x = 207,759.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.