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Finding the Third Proportional to 248,576 and 393,792

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Solution

The third proportional to 248,576 and 393,792 is: 623,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,576 : 393,792 = 393,792 : x
  2. Step 2: Convert to fraction form
    248,576/393,792 = 393,792/x
  3. Step 3: Cross multiply
    248,576x = 393,792 × 393,792
  4. Step 4: Simplify right side
    248,576x = 155,072,139,264
  5. Step 5: Solve for x
    x = 155,072,139,264/248,576
  6. Step 6: Final answer
    x = 623,841.96

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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.