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Finding the Third Proportional to 67,817.81 and 147,311.16

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Solution

The third proportional to 67,817.81 and 147,311.16 is: 319,983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,817.81 : 147,311.16 = 147,311.16 : x
  2. Step 2: Convert to fraction form
    67,817.81/147,311.16 = 147,311.16/x
  3. Step 3: Cross multiply
    67,817.81x = 147,311.16 × 147,311.16
  4. Step 4: Simplify right side
    67,817.81x = 21,700,576,755.71
  5. Step 5: Solve for x
    x = 21,700,576,755.71/67,817.81
  6. Step 6: Final answer
    x = 319,983.44

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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.