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Finding the Third Proportional to 215,688 and 453,680

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Solution

The third proportional to 215,688 and 453,680 is: 954,274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,688 : 453,680 = 453,680 : x
  2. Step 2: Convert to fraction form
    215,688/453,680 = 453,680/x
  3. Step 3: Cross multiply
    215,688x = 453,680 × 453,680
  4. Step 4: Simplify right side
    215,688x = 205,825,542,400
  5. Step 5: Solve for x
    x = 205,825,542,400/215,688
  6. Step 6: Final answer
    x = 954,274.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.