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Finding the Third Proportional to 170,324 and 358,285

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Solution

The third proportional to 170,324 and 358,285 is: 753,670.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,324 : 358,285 = 358,285 : x
  2. Step 2: Convert to fraction form
    170,324/358,285 = 358,285/x
  3. Step 3: Cross multiply
    170,324x = 358,285 × 358,285
  4. Step 4: Simplify right side
    170,324x = 128,368,141,225
  5. Step 5: Solve for x
    x = 128,368,141,225/170,324
  6. Step 6: Final answer
    x = 753,670.31

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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.