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Finding the Third Proportional to 67,817.50 and 147,310.63

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Solution

The third proportional to 67,817.50 and 147,310.63 is: 319,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,817.50 : 147,310.63 = 147,310.63 : x
  2. Step 2: Convert to fraction form
    67,817.50/147,310.63 = 147,310.63/x
  3. Step 3: Cross multiply
    67,817.50x = 147,310.63 × 147,310.63
  4. Step 4: Simplify right side
    67,817.50x = 21,700,420,237.89
  5. Step 5: Solve for x
    x = 21,700,420,237.89/67,817.50
  6. Step 6: Final answer
    x = 319,982.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.