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Finding the Third Proportional to 273,426.75 and 427,414.50

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Solution

The third proportional to 273,426.75 and 427,414.50 is: 668,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,426.75 : 427,414.50 = 427,414.50 : x
  2. Step 2: Convert to fraction form
    273,426.75/427,414.50 = 427,414.50/x
  3. Step 3: Cross multiply
    273,426.75x = 427,414.50 × 427,414.50
  4. Step 4: Simplify right side
    273,426.75x = 182,683,154,810.25
  5. Step 5: Solve for x
    x = 182,683,154,810.25/273,426.75
  6. Step 6: Final answer
    x = 668,124.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.