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Finding the Third Proportional to 77,610 and 165,396

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Solution

The third proportional to 77,610 and 165,396 is: 352,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,610 : 165,396 = 165,396 : x
  2. Step 2: Convert to fraction form
    77,610/165,396 = 165,396/x
  3. Step 3: Cross multiply
    77,610x = 165,396 × 165,396
  4. Step 4: Simplify right side
    77,610x = 27,355,836,816
  5. Step 5: Solve for x
    x = 27,355,836,816/77,610
  6. Step 6: Final answer
    x = 352,478.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.