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Finding the Third Proportional to 91,447 and 133,603

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Solution

The third proportional to 91,447 and 133,603 is: 195,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,447 : 133,603 = 133,603 : x
  2. Step 2: Convert to fraction form
    91,447/133,603 = 133,603/x
  3. Step 3: Cross multiply
    91,447x = 133,603 × 133,603
  4. Step 4: Simplify right side
    91,447x = 17,849,761,609
  5. Step 5: Solve for x
    x = 17,849,761,609/91,447
  6. Step 6: Final answer
    x = 195,192.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.