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Finding the Third Proportional to 334,734.75 and 737,374.50

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Solution

The third proportional to 334,734.75 and 737,374.50 is: 1,624,334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,734.75 : 737,374.50 = 737,374.50 : x
  2. Step 2: Convert to fraction form
    334,734.75/737,374.50 = 737,374.50/x
  3. Step 3: Cross multiply
    334,734.75x = 737,374.50 × 737,374.50
  4. Step 4: Simplify right side
    334,734.75x = 543,721,153,250.25
  5. Step 5: Solve for x
    x = 543,721,153,250.25/334,734.75
  6. Step 6: Final answer
    x = 1,624,334.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.