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Finding the Third Proportional to 217,416 and 343,633.50

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Solution

The third proportional to 217,416 and 343,633.50 is: 543,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,416 : 343,633.50 = 343,633.50 : x
  2. Step 2: Convert to fraction form
    217,416/343,633.50 = 343,633.50/x
  3. Step 3: Cross multiply
    217,416x = 343,633.50 × 343,633.50
  4. Step 4: Simplify right side
    217,416x = 118,083,982,322.25
  5. Step 5: Solve for x
    x = 118,083,982,322.25/217,416
  6. Step 6: Final answer
    x = 543,124.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.