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Finding the Third Proportional to 248,260 and 393,294

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Solution

The third proportional to 248,260 and 393,294 is: 623,057.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,260 : 393,294 = 393,294 : x
  2. Step 2: Convert to fraction form
    248,260/393,294 = 393,294/x
  3. Step 3: Cross multiply
    248,260x = 393,294 × 393,294
  4. Step 4: Simplify right side
    248,260x = 154,680,170,436
  5. Step 5: Solve for x
    x = 154,680,170,436/248,260
  6. Step 6: Final answer
    x = 623,057.16

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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.