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Finding the Third Proportional to 286,760 and 623,824

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Solution

The third proportional to 286,760 and 623,824 is: 1,357,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,760 : 623,824 = 623,824 : x
  2. Step 2: Convert to fraction form
    286,760/623,824 = 623,824/x
  3. Step 3: Cross multiply
    286,760x = 623,824 × 623,824
  4. Step 4: Simplify right side
    286,760x = 389,156,382,976
  5. Step 5: Solve for x
    x = 389,156,382,976/286,760
  6. Step 6: Final answer
    x = 1,357,080.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.