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Finding the Third Proportional to 378,077.63 and 624,388.50

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Solution

The third proportional to 378,077.63 and 624,388.50 is: 1,031,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,077.63 : 624,388.50 = 624,388.50 : x
  2. Step 2: Convert to fraction form
    378,077.63/624,388.50 = 624,388.50/x
  3. Step 3: Cross multiply
    378,077.63x = 624,388.50 × 624,388.50
  4. Step 4: Simplify right side
    378,077.63x = 389,860,998,932.25
  5. Step 5: Solve for x
    x = 389,860,998,932.25/378,077.63
  6. Step 6: Final answer
    x = 1,031,166.55

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.