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Finding the Third Proportional to 137,521 and 289,975

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Solution

The third proportional to 137,521 and 289,975 is: 611,437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,521 : 289,975 = 289,975 : x
  2. Step 2: Convert to fraction form
    137,521/289,975 = 289,975/x
  3. Step 3: Cross multiply
    137,521x = 289,975 × 289,975
  4. Step 4: Simplify right side
    137,521x = 84,085,500,625
  5. Step 5: Solve for x
    x = 84,085,500,625/137,521
  6. Step 6: Final answer
    x = 611,437.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.