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Finding the Third Proportional to 547,125.75 and 818,500.50

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Solution

The third proportional to 547,125.75 and 818,500.50 is: 1,224,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,125.75 : 818,500.50 = 818,500.50 : x
  2. Step 2: Convert to fraction form
    547,125.75/818,500.50 = 818,500.50/x
  3. Step 3: Cross multiply
    547,125.75x = 818,500.50 × 818,500.50
  4. Step 4: Simplify right side
    547,125.75x = 669,943,068,500.25
  5. Step 5: Solve for x
    x = 669,943,068,500.25/547,125.75
  6. Step 6: Final answer
    x = 1,224,477.31

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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.