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Finding the Third Proportional to 380,335.50 and 839,281.50

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Solution

The third proportional to 380,335.50 and 839,281.50 is: 1,852,031.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,335.50 : 839,281.50 = 839,281.50 : x
  2. Step 2: Convert to fraction form
    380,335.50/839,281.50 = 839,281.50/x
  3. Step 3: Cross multiply
    380,335.50x = 839,281.50 × 839,281.50
  4. Step 4: Simplify right side
    380,335.50x = 704,393,436,242.25
  5. Step 5: Solve for x
    x = 704,393,436,242.25/380,335.50
  6. Step 6: Final answer
    x = 1,852,031.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.