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Finding the Third Proportional to 248,358 and 393,435

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Solution

The third proportional to 248,358 and 393,435 is: 623,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,358 : 393,435 = 393,435 : x
  2. Step 2: Convert to fraction form
    248,358/393,435 = 393,435/x
  3. Step 3: Cross multiply
    248,358x = 393,435 × 393,435
  4. Step 4: Simplify right side
    248,358x = 154,791,099,225
  5. Step 5: Solve for x
    x = 154,791,099,225/248,358
  6. Step 6: Final answer
    x = 623,257.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.