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Finding the Third Proportional to 253,576.50 and 392,436

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Solution

The third proportional to 253,576.50 and 392,436 is: 607,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,576.50 : 392,436 = 392,436 : x
  2. Step 2: Convert to fraction form
    253,576.50/392,436 = 392,436/x
  3. Step 3: Cross multiply
    253,576.50x = 392,436 × 392,436
  4. Step 4: Simplify right side
    253,576.50x = 154,006,014,096
  5. Step 5: Solve for x
    x = 154,006,014,096/253,576.50
  6. Step 6: Final answer
    x = 607,335.51

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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.