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Finding the Third Proportional to 165,620 and 359,246

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Solution

The third proportional to 165,620 and 359,246 is: 779,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,620 : 359,246 = 359,246 : x
  2. Step 2: Convert to fraction form
    165,620/359,246 = 359,246/x
  3. Step 3: Cross multiply
    165,620x = 359,246 × 359,246
  4. Step 4: Simplify right side
    165,620x = 129,057,688,516
  5. Step 5: Solve for x
    x = 129,057,688,516/165,620
  6. Step 6: Final answer
    x = 779,239.76

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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.