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Finding the Third Proportional to 258,912 and 349,807

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Solution

The third proportional to 258,912 and 349,807 is: 472,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,912 : 349,807 = 349,807 : x
  2. Step 2: Convert to fraction form
    258,912/349,807 = 349,807/x
  3. Step 3: Cross multiply
    258,912x = 349,807 × 349,807
  4. Step 4: Simplify right side
    258,912x = 122,364,937,249
  5. Step 5: Solve for x
    x = 122,364,937,249/258,912
  6. Step 6: Final answer
    x = 472,612.07

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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.