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Finding the Third Proportional to 77,019 and 165,498

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Solution

The third proportional to 77,019 and 165,498 is: 355,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,019 : 165,498 = 165,498 : x
  2. Step 2: Convert to fraction form
    77,019/165,498 = 165,498/x
  3. Step 3: Cross multiply
    77,019x = 165,498 × 165,498
  4. Step 4: Simplify right side
    77,019x = 27,389,588,004
  5. Step 5: Solve for x
    x = 27,389,588,004/77,019
  6. Step 6: Final answer
    x = 355,621.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.