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Finding the Third Proportional to 261,056.25 and 415,391.63

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Solution

The third proportional to 261,056.25 and 415,391.63 is: 660,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,056.25 : 415,391.63 = 415,391.63 : x
  2. Step 2: Convert to fraction form
    261,056.25/415,391.63 = 415,391.63/x
  3. Step 3: Cross multiply
    261,056.25x = 415,391.63 × 415,391.63
  4. Step 4: Simplify right side
    261,056.25x = 172,550,202,120.14
  5. Step 5: Solve for x
    x = 172,550,202,120.14/261,056.25
  6. Step 6: Final answer
    x = 660,969.44

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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.