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Finding the Third Proportional to 117,288 and 276,601.50

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Solution

The third proportional to 117,288 and 276,601.50 is: 652,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,288 : 276,601.50 = 276,601.50 : x
  2. Step 2: Convert to fraction form
    117,288/276,601.50 = 276,601.50/x
  3. Step 3: Cross multiply
    117,288x = 276,601.50 × 276,601.50
  4. Step 4: Simplify right side
    117,288x = 76,508,389,802.25
  5. Step 5: Solve for x
    x = 76,508,389,802.25/117,288
  6. Step 6: Final answer
    x = 652,312.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.