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Finding the Third Proportional to 259,680 and 388,480

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Solution

The third proportional to 259,680 and 388,480 is: 581,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,680 : 388,480 = 388,480 : x
  2. Step 2: Convert to fraction form
    259,680/388,480 = 388,480/x
  3. Step 3: Cross multiply
    259,680x = 388,480 × 388,480
  4. Step 4: Simplify right side
    259,680x = 150,916,710,400
  5. Step 5: Solve for x
    x = 150,916,710,400/259,680
  6. Step 6: Final answer
    x = 581,164.17

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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.