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Finding the Third Proportional to 165,680 and 360,686

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Solution

The third proportional to 165,680 and 360,686 is: 785,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,680 : 360,686 = 360,686 : x
  2. Step 2: Convert to fraction form
    165,680/360,686 = 360,686/x
  3. Step 3: Cross multiply
    165,680x = 360,686 × 360,686
  4. Step 4: Simplify right side
    165,680x = 130,094,390,596
  5. Step 5: Solve for x
    x = 130,094,390,596/165,680
  6. Step 6: Final answer
    x = 785,214.82

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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.