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Finding the Third Proportional to 272,030 and 408,728

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Solution

The third proportional to 272,030 and 408,728 is: 614,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,030 : 408,728 = 408,728 : x
  2. Step 2: Convert to fraction form
    272,030/408,728 = 408,728/x
  3. Step 3: Cross multiply
    272,030x = 408,728 × 408,728
  4. Step 4: Simplify right side
    272,030x = 167,058,577,984
  5. Step 5: Solve for x
    x = 167,058,577,984/272,030
  6. Step 6: Final answer
    x = 614,118.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.