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Finding the Third Proportional to 260,854 and 349,403

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Solution

The third proportional to 260,854 and 349,403 is: 468,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,854 : 349,403 = 349,403 : x
  2. Step 2: Convert to fraction form
    260,854/349,403 = 349,403/x
  3. Step 3: Cross multiply
    260,854x = 349,403 × 349,403
  4. Step 4: Simplify right side
    260,854x = 122,082,456,409
  5. Step 5: Solve for x
    x = 122,082,456,409/260,854
  6. Step 6: Final answer
    x = 468,010.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.