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Finding the Third Proportional to 118,396 and 253,639

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Solution

The third proportional to 118,396 and 253,639 is: 543,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,396 : 253,639 = 253,639 : x
  2. Step 2: Convert to fraction form
    118,396/253,639 = 253,639/x
  3. Step 3: Cross multiply
    118,396x = 253,639 × 253,639
  4. Step 4: Simplify right side
    118,396x = 64,332,742,321
  5. Step 5: Solve for x
    x = 64,332,742,321/118,396
  6. Step 6: Final answer
    x = 543,369.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.