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Finding the Third Proportional to 304,816 and 660,480

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Solution

The third proportional to 304,816 and 660,480 is: 1,431,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,816 : 660,480 = 660,480 : x
  2. Step 2: Convert to fraction form
    304,816/660,480 = 660,480/x
  3. Step 3: Cross multiply
    304,816x = 660,480 × 660,480
  4. Step 4: Simplify right side
    304,816x = 436,233,830,400
  5. Step 5: Solve for x
    x = 436,233,830,400/304,816
  6. Step 6: Final answer
    x = 1,431,138.23

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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.