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Finding the Third Proportional to 259,315 and 349,576

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Solution

The third proportional to 259,315 and 349,576 is: 471,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,315 : 349,576 = 349,576 : x
  2. Step 2: Convert to fraction form
    259,315/349,576 = 349,576/x
  3. Step 3: Cross multiply
    259,315x = 349,576 × 349,576
  4. Step 4: Simplify right side
    259,315x = 122,203,379,776
  5. Step 5: Solve for x
    x = 122,203,379,776/259,315
  6. Step 6: Final answer
    x = 471,254.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.