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Finding the Third Proportional to 261,038.25 and 415,366.88

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Solution

The third proportional to 261,038.25 and 415,366.88 is: 660,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,038.25 : 415,366.88 = 415,366.88 : x
  2. Step 2: Convert to fraction form
    261,038.25/415,366.88 = 415,366.88/x
  3. Step 3: Cross multiply
    261,038.25x = 415,366.88 × 415,366.88
  4. Step 4: Simplify right side
    261,038.25x = 172,529,640,847.27
  5. Step 5: Solve for x
    x = 172,529,640,847.27/261,038.25
  6. Step 6: Final answer
    x = 660,936.25

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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.