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Finding the Third Proportional to 55,555 and 118,399

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Solution

The third proportional to 55,555 and 118,399 is: 252,332.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,555 : 118,399 = 118,399 : x
  2. Step 2: Convert to fraction form
    55,555/118,399 = 118,399/x
  3. Step 3: Cross multiply
    55,555x = 118,399 × 118,399
  4. Step 4: Simplify right side
    55,555x = 14,018,323,201
  5. Step 5: Solve for x
    x = 14,018,323,201/55,555
  6. Step 6: Final answer
    x = 252,332.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.