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Finding the Third Proportional to 145,825 and 221,687

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Solution

The third proportional to 145,825 and 221,687 is: 337,014.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,825 : 221,687 = 221,687 : x
  2. Step 2: Convert to fraction form
    145,825/221,687 = 221,687/x
  3. Step 3: Cross multiply
    145,825x = 221,687 × 221,687
  4. Step 4: Simplify right side
    145,825x = 49,145,125,969
  5. Step 5: Solve for x
    x = 49,145,125,969/145,825
  6. Step 6: Final answer
    x = 337,014.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.