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Finding the Third Proportional to 276,265.69 and 415,423.69

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Solution

The third proportional to 276,265.69 and 415,423.69 is: 624,677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,265.69 : 415,423.69 = 415,423.69 : x
  2. Step 2: Convert to fraction form
    276,265.69/415,423.69 = 415,423.69/x
  3. Step 3: Cross multiply
    276,265.69x = 415,423.69 × 415,423.69
  4. Step 4: Simplify right side
    276,265.69x = 172,576,840,136.10
  5. Step 5: Solve for x
    x = 172,576,840,136.10/276,265.69
  6. Step 6: Final answer
    x = 624,677.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.