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Finding the Third Proportional to 378,391.50 and 553,015.13

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Solution

The third proportional to 378,391.50 and 553,015.13 is: 808,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,391.50 : 553,015.13 = 553,015.13 : x
  2. Step 2: Convert to fraction form
    378,391.50/553,015.13 = 553,015.13/x
  3. Step 3: Cross multiply
    378,391.50x = 553,015.13 × 553,015.13
  4. Step 4: Simplify right side
    378,391.50x = 305,825,728,478.77
  5. Step 5: Solve for x
    x = 305,825,728,478.77/378,391.50
  6. Step 6: Final answer
    x = 808,225.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.