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Finding the Third Proportional to 165,607 and 221,710

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Solution

The third proportional to 165,607 and 221,710 is: 296,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,607 : 221,710 = 221,710 : x
  2. Step 2: Convert to fraction form
    165,607/221,710 = 221,710/x
  3. Step 3: Cross multiply
    165,607x = 221,710 × 221,710
  4. Step 4: Simplify right side
    165,607x = 49,155,324,100
  5. Step 5: Solve for x
    x = 49,155,324,100/165,607
  6. Step 6: Final answer
    x = 296,819.12

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.