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Finding the Third Proportional to 170,320 and 358,279

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Solution

The third proportional to 170,320 and 358,279 is: 753,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,320 : 358,279 = 358,279 : x
  2. Step 2: Convert to fraction form
    170,320/358,279 = 358,279/x
  3. Step 3: Cross multiply
    170,320x = 358,279 × 358,279
  4. Step 4: Simplify right side
    170,320x = 128,363,841,841
  5. Step 5: Solve for x
    x = 128,363,841,841/170,320
  6. Step 6: Final answer
    x = 753,662.76

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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.