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Finding the Third Proportional to 261,682 and 415,036

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Solution

The third proportional to 261,682 and 415,036 is: 658,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,682 : 415,036 = 415,036 : x
  2. Step 2: Convert to fraction form
    261,682/415,036 = 415,036/x
  3. Step 3: Cross multiply
    261,682x = 415,036 × 415,036
  4. Step 4: Simplify right side
    261,682x = 172,254,881,296
  5. Step 5: Solve for x
    x = 172,254,881,296/261,682
  6. Step 6: Final answer
    x = 658,260.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.