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Finding the Third Proportional to 103,640 and 216,664

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Solution

The third proportional to 103,640 and 216,664 is: 452,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640 : 216,664 = 216,664 : x
  2. Step 2: Convert to fraction form
    103,640/216,664 = 216,664/x
  3. Step 3: Cross multiply
    103,640x = 216,664 × 216,664
  4. Step 4: Simplify right side
    103,640x = 46,943,288,896
  5. Step 5: Solve for x
    x = 46,943,288,896/103,640
  6. Step 6: Final answer
    x = 452,945.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.