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Finding the Third Proportional to 301,728.75 and 455,667.75

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Solution

The third proportional to 301,728.75 and 455,667.75 is: 688,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,728.75 : 455,667.75 = 455,667.75 : x
  2. Step 2: Convert to fraction form
    301,728.75/455,667.75 = 455,667.75/x
  3. Step 3: Cross multiply
    301,728.75x = 455,667.75 × 455,667.75
  4. Step 4: Simplify right side
    301,728.75x = 207,633,098,390.06
  5. Step 5: Solve for x
    x = 207,633,098,390.06/301,728.75
  6. Step 6: Final answer
    x = 688,144.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.