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Finding the Third Proportional to 67,520 and 145,416

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Solution

The third proportional to 67,520 and 145,416 is: 313,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,520 : 145,416 = 145,416 : x
  2. Step 2: Convert to fraction form
    67,520/145,416 = 145,416/x
  3. Step 3: Cross multiply
    67,520x = 145,416 × 145,416
  4. Step 4: Simplify right side
    67,520x = 21,145,813,056
  5. Step 5: Solve for x
    x = 21,145,813,056/67,520
  6. Step 6: Final answer
    x = 313,178.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.