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Finding the Third Proportional to 165,272 and 358,021

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Solution

The third proportional to 165,272 and 358,021 is: 775,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,272 : 358,021 = 358,021 : x
  2. Step 2: Convert to fraction form
    165,272/358,021 = 358,021/x
  3. Step 3: Cross multiply
    165,272x = 358,021 × 358,021
  4. Step 4: Simplify right side
    165,272x = 128,179,036,441
  5. Step 5: Solve for x
    x = 128,179,036,441/165,272
  6. Step 6: Final answer
    x = 775,564.14

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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.