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Finding the Third Proportional to 258,906 and 349,798

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Solution

The third proportional to 258,906 and 349,798 is: 472,598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,906 : 349,798 = 349,798 : x
  2. Step 2: Convert to fraction form
    258,906/349,798 = 349,798/x
  3. Step 3: Cross multiply
    258,906x = 349,798 × 349,798
  4. Step 4: Simplify right side
    258,906x = 122,358,640,804
  5. Step 5: Solve for x
    x = 122,358,640,804/258,906
  6. Step 6: Final answer
    x = 472,598.71

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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.