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Finding the Third Proportional to 77,050 and 165,600

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Solution

The third proportional to 77,050 and 165,600 is: 355,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,050 : 165,600 = 165,600 : x
  2. Step 2: Convert to fraction form
    77,050/165,600 = 165,600/x
  3. Step 3: Cross multiply
    77,050x = 165,600 × 165,600
  4. Step 4: Simplify right side
    77,050x = 27,423,360,000
  5. Step 5: Solve for x
    x = 27,423,360,000/77,050
  6. Step 6: Final answer
    x = 355,916.42

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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.