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Finding the Third Proportional to 81,465 and 177,411

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Solution

The third proportional to 81,465 and 177,411 is: 386,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,465 : 177,411 = 177,411 : x
  2. Step 2: Convert to fraction form
    81,465/177,411 = 177,411/x
  3. Step 3: Cross multiply
    81,465x = 177,411 × 177,411
  4. Step 4: Simplify right side
    81,465x = 31,474,662,921
  5. Step 5: Solve for x
    x = 31,474,662,921/81,465
  6. Step 6: Final answer
    x = 386,358.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.