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Finding the Third Proportional to 253,584 and 392,447

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Solution

The third proportional to 253,584 and 392,447 is: 607,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,584 : 392,447 = 392,447 : x
  2. Step 2: Convert to fraction form
    253,584/392,447 = 392,447/x
  3. Step 3: Cross multiply
    253,584x = 392,447 × 392,447
  4. Step 4: Simplify right side
    253,584x = 154,014,647,809
  5. Step 5: Solve for x
    x = 154,014,647,809/253,584
  6. Step 6: Final answer
    x = 607,351.60

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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.