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Finding the Third Proportional to 239,816 and 518,056

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Solution

The third proportional to 239,816 and 518,056 is: 1,119,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,816 : 518,056 = 518,056 : x
  2. Step 2: Convert to fraction form
    239,816/518,056 = 518,056/x
  3. Step 3: Cross multiply
    239,816x = 518,056 × 518,056
  4. Step 4: Simplify right side
    239,816x = 268,382,019,136
  5. Step 5: Solve for x
    x = 268,382,019,136/239,816
  6. Step 6: Final answer
    x = 1,119,116.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.