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Finding the Third Proportional to 276,302.39 and 415,479.69

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Solution

The third proportional to 276,302.39 and 415,479.69 is: 624,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,302.39 : 415,479.69 = 415,479.69 : x
  2. Step 2: Convert to fraction form
    276,302.39/415,479.69 = 415,479.69/x
  3. Step 3: Cross multiply
    276,302.39x = 415,479.69 × 415,479.69
  4. Step 4: Simplify right side
    276,302.39x = 172,623,373,971.03
  5. Step 5: Solve for x
    x = 172,623,373,971.03/276,302.39
  6. Step 6: Final answer
    x = 624,762.51

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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.