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Finding the Third Proportional to 170,418 and 358,464

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Solution

The third proportional to 170,418 and 358,464 is: 754,007.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,418 : 358,464 = 358,464 : x
  2. Step 2: Convert to fraction form
    170,418/358,464 = 358,464/x
  3. Step 3: Cross multiply
    170,418x = 358,464 × 358,464
  4. Step 4: Simplify right side
    170,418x = 128,496,439,296
  5. Step 5: Solve for x
    x = 128,496,439,296/170,418
  6. Step 6: Final answer
    x = 754,007.44

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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.