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Finding the Third Proportional to 217,068 and 339,492

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Solution

The third proportional to 217,068 and 339,492 is: 530,961.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,068 : 339,492 = 339,492 : x
  2. Step 2: Convert to fraction form
    217,068/339,492 = 339,492/x
  3. Step 3: Cross multiply
    217,068x = 339,492 × 339,492
  4. Step 4: Simplify right side
    217,068x = 115,254,818,064
  5. Step 5: Solve for x
    x = 115,254,818,064/217,068
  6. Step 6: Final answer
    x = 530,961.81

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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.