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Finding the Third Proportional to 106,319 and 220,109

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Solution

The third proportional to 106,319 and 220,109 is: 455,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,319 : 220,109 = 220,109 : x
  2. Step 2: Convert to fraction form
    106,319/220,109 = 220,109/x
  3. Step 3: Cross multiply
    106,319x = 220,109 × 220,109
  4. Step 4: Simplify right side
    106,319x = 48,447,971,881
  5. Step 5: Solve for x
    x = 48,447,971,881/106,319
  6. Step 6: Final answer
    x = 455,684.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.