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Finding the Third Proportional to 387,816 and 568,956

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Solution

The third proportional to 387,816 and 568,956 is: 834,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,816 : 568,956 = 568,956 : x
  2. Step 2: Convert to fraction form
    387,816/568,956 = 568,956/x
  3. Step 3: Cross multiply
    387,816x = 568,956 × 568,956
  4. Step 4: Simplify right side
    387,816x = 323,710,929,936
  5. Step 5: Solve for x
    x = 323,710,929,936/387,816
  6. Step 6: Final answer
    x = 834,702.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.