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Finding the Third Proportional to 548,400 and 818,076

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Solution

The third proportional to 548,400 and 818,076 is: 1,220,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,400 : 818,076 = 818,076 : x
  2. Step 2: Convert to fraction form
    548,400/818,076 = 818,076/x
  3. Step 3: Cross multiply
    548,400x = 818,076 × 818,076
  4. Step 4: Simplify right side
    548,400x = 669,248,341,776
  5. Step 5: Solve for x
    x = 669,248,341,776/548,400
  6. Step 6: Final answer
    x = 1,220,365.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.