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Finding the Third Proportional to 217,656 and 341,820

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Solution

The third proportional to 217,656 and 341,820 is: 536,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,656 : 341,820 = 341,820 : x
  2. Step 2: Convert to fraction form
    217,656/341,820 = 341,820/x
  3. Step 3: Cross multiply
    217,656x = 341,820 × 341,820
  4. Step 4: Simplify right side
    217,656x = 116,840,912,400
  5. Step 5: Solve for x
    x = 116,840,912,400/217,656
  6. Step 6: Final answer
    x = 536,814.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.