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Finding the Third Proportional to 85,276 and 133,472

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Solution

The third proportional to 85,276 and 133,472 is: 208,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,276 : 133,472 = 133,472 : x
  2. Step 2: Convert to fraction form
    85,276/133,472 = 133,472/x
  3. Step 3: Cross multiply
    85,276x = 133,472 × 133,472
  4. Step 4: Simplify right side
    85,276x = 17,814,774,784
  5. Step 5: Solve for x
    x = 17,814,774,784/85,276
  6. Step 6: Final answer
    x = 208,907.25

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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.