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Finding the Third Proportional to 170,486 and 358,946

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Solution

The third proportional to 170,486 and 358,946 is: 755,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,486 : 358,946 = 358,946 : x
  2. Step 2: Convert to fraction form
    170,486/358,946 = 358,946/x
  3. Step 3: Cross multiply
    170,486x = 358,946 × 358,946
  4. Step 4: Simplify right side
    170,486x = 128,842,230,916
  5. Step 5: Solve for x
    x = 128,842,230,916/170,486
  6. Step 6: Final answer
    x = 755,734.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.