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Finding the Third Proportional to 165,351 and 358,890

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Solution

The third proportional to 165,351 and 358,890 is: 778,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,351 : 358,890 = 358,890 : x
  2. Step 2: Convert to fraction form
    165,351/358,890 = 358,890/x
  3. Step 3: Cross multiply
    165,351x = 358,890 × 358,890
  4. Step 4: Simplify right side
    165,351x = 128,802,032,100
  5. Step 5: Solve for x
    x = 128,802,032,100/165,351
  6. Step 6: Final answer
    x = 778,961.31

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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.