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Finding the Third Proportional to 61,805 and 133,465

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Solution

The third proportional to 61,805 and 133,465 is: 288,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,805 : 133,465 = 133,465 : x
  2. Step 2: Convert to fraction form
    61,805/133,465 = 133,465/x
  3. Step 3: Cross multiply
    61,805x = 133,465 × 133,465
  4. Step 4: Simplify right side
    61,805x = 17,812,906,225
  5. Step 5: Solve for x
    x = 17,812,906,225/61,805
  6. Step 6: Final answer
    x = 288,211.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.