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Finding the Third Proportional to 145,498 and 219,544

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Solution

The third proportional to 145,498 and 219,544 is: 331,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,498 : 219,544 = 219,544 : x
  2. Step 2: Convert to fraction form
    145,498/219,544 = 219,544/x
  3. Step 3: Cross multiply
    145,498x = 219,544 × 219,544
  4. Step 4: Simplify right side
    145,498x = 48,199,567,936
  5. Step 5: Solve for x
    x = 48,199,567,936/145,498
  6. Step 6: Final answer
    x = 331,273.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.