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Finding the Third Proportional to 56,541 and 118,893

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Solution

The third proportional to 56,541 and 118,893 is: 250,005.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,541 : 118,893 = 118,893 : x
  2. Step 2: Convert to fraction form
    56,541/118,893 = 118,893/x
  3. Step 3: Cross multiply
    56,541x = 118,893 × 118,893
  4. Step 4: Simplify right side
    56,541x = 14,135,545,449
  5. Step 5: Solve for x
    x = 14,135,545,449/56,541
  6. Step 6: Final answer
    x = 250,005.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.