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Finding the Third Proportional to 420,108.75 and 656,406

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Solution

The third proportional to 420,108.75 and 656,406 is: 1,025,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,108.75 : 656,406 = 656,406 : x
  2. Step 2: Convert to fraction form
    420,108.75/656,406 = 656,406/x
  3. Step 3: Cross multiply
    420,108.75x = 656,406 × 656,406
  4. Step 4: Simplify right side
    420,108.75x = 430,868,836,836
  5. Step 5: Solve for x
    x = 430,868,836,836/420,108.75
  6. Step 6: Final answer
    x = 1,025,612.62

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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.