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Finding the Third Proportional to 102,320 and 216,806

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Solution

The third proportional to 102,320 and 216,806 is: 459,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,320 : 216,806 = 216,806 : x
  2. Step 2: Convert to fraction form
    102,320/216,806 = 216,806/x
  3. Step 3: Cross multiply
    102,320x = 216,806 × 216,806
  4. Step 4: Simplify right side
    102,320x = 47,004,841,636
  5. Step 5: Solve for x
    x = 47,004,841,636/102,320
  6. Step 6: Final answer
    x = 459,390.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.