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Finding the Third Proportional to 260,738 and 371,919

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Solution

The third proportional to 260,738 and 371,919 is: 530,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,738 : 371,919 = 371,919 : x
  2. Step 2: Convert to fraction form
    260,738/371,919 = 371,919/x
  3. Step 3: Cross multiply
    260,738x = 371,919 × 371,919
  4. Step 4: Simplify right side
    260,738x = 138,323,742,561
  5. Step 5: Solve for x
    x = 138,323,742,561/260,738
  6. Step 6: Final answer
    x = 530,508.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.