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Finding the Third Proportional to 67,629 and 144,639

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Solution

The third proportional to 67,629 and 144,639 is: 309,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,629 : 144,639 = 144,639 : x
  2. Step 2: Convert to fraction form
    67,629/144,639 = 144,639/x
  3. Step 3: Cross multiply
    67,629x = 144,639 × 144,639
  4. Step 4: Simplify right side
    67,629x = 20,920,440,321
  5. Step 5: Solve for x
    x = 20,920,440,321/67,629
  6. Step 6: Final answer
    x = 309,341.26

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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.