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Finding the Third Proportional to 254,370 and 393,246

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Solution

The third proportional to 254,370 and 393,246 is: 607,942.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,370 : 393,246 = 393,246 : x
  2. Step 2: Convert to fraction form
    254,370/393,246 = 393,246/x
  3. Step 3: Cross multiply
    254,370x = 393,246 × 393,246
  4. Step 4: Simplify right side
    254,370x = 154,642,416,516
  5. Step 5: Solve for x
    x = 154,642,416,516/254,370
  6. Step 6: Final answer
    x = 607,942.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.