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Finding the Third Proportional to 76,320 and 165,600

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Solution

The third proportional to 76,320 and 165,600 is: 359,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,320 : 165,600 = 165,600 : x
  2. Step 2: Convert to fraction form
    76,320/165,600 = 165,600/x
  3. Step 3: Cross multiply
    76,320x = 165,600 × 165,600
  4. Step 4: Simplify right side
    76,320x = 27,423,360,000
  5. Step 5: Solve for x
    x = 27,423,360,000/76,320
  6. Step 6: Final answer
    x = 359,320.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.