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Finding the Third Proportional to 76,398 and 180,639

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Solution

The third proportional to 76,398 and 180,639 is: 427,111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,398 : 180,639 = 180,639 : x
  2. Step 2: Convert to fraction form
    76,398/180,639 = 180,639/x
  3. Step 3: Cross multiply
    76,398x = 180,639 × 180,639
  4. Step 4: Simplify right side
    76,398x = 32,630,448,321
  5. Step 5: Solve for x
    x = 32,630,448,321/76,398
  6. Step 6: Final answer
    x = 427,111.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.