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Finding the Third Proportional to 165,960 and 358,272

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Solution

The third proportional to 165,960 and 358,272 is: 773,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,960 : 358,272 = 358,272 : x
  2. Step 2: Convert to fraction form
    165,960/358,272 = 358,272/x
  3. Step 3: Cross multiply
    165,960x = 358,272 × 358,272
  4. Step 4: Simplify right side
    165,960x = 128,358,825,984
  5. Step 5: Solve for x
    x = 128,358,825,984/165,960
  6. Step 6: Final answer
    x = 773,432.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.