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Finding the Third Proportional to 170,416 and 358,455

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Solution

The third proportional to 170,416 and 358,455 is: 753,978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,416 : 358,455 = 358,455 : x
  2. Step 2: Convert to fraction form
    170,416/358,455 = 358,455/x
  3. Step 3: Cross multiply
    170,416x = 358,455 × 358,455
  4. Step 4: Simplify right side
    170,416x = 128,489,987,025
  5. Step 5: Solve for x
    x = 128,489,987,025/170,416
  6. Step 6: Final answer
    x = 753,978.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.